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1375816464 = 24321122812
BaseRepresentation
bin101001000000001…
…0100101100010000
310112212211201101100
41102000110230100
510304202111324
6344304304400
746044150501
oct12200245420
93485751340
101375816464
11646681300
12324912100
1318c0620a9
14d0a18ba8
1580bb94c9
hex52014b10

1375816464 has 135 divisors (see below), whose sum is σ = 4247345557. Its totient is φ = 415430400.

The previous prime is 1375816411. The next prime is 1375816469. The reversal of 1375816464 is 4646185731.

The square root of 1375816464 is 37092.

It is a perfect power (a square), and thus also a powerful number.

1375816464 is a `hidden beast` number, since 1 + 3 + 7 + 581 + 6 + 4 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 929762064 + 446054400 = 30492^2 + 21120^2 .

It is a super-2 number, since 2×13758164642 = 3785741885226926592, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1375816469) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4896004 + ... + 4896284.

Almost surely, 21375816464 is an apocalyptic number.

1375816464 is the 37092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375816464

1375816464 is an abundant number, since it is smaller than the sum of its proper divisors (2871529093).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1375816464 is a wasteful number, since it uses less digits than its factorization.

1375816464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 297 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 1375816464 is about 1112.2100986661.

The spelling of 1375816464 in words is "one billion, three hundred seventy-five million, eight hundred sixteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 281 363 396 484 528 562 726 792 843 968 1089 1124 1452 1584 1686 1936 2178 2248 2529 2904 3091 3372 4356 4496 5058 5808 6182 6744 8712 9273 10116 12364 13488 17424 18546 20232 24728 27819 34001 37092 40464 49456 55638 68002 74184 78961 102003 111276 136004 148368 157922 204006 222552 236883 272008 306009 315844 408012 445104 473766 544016 612018 631688 710649 816024 868571 947532 1224036 1263376 1421298 1632048 1737142 1895064 2448072 2605713 2842596 3474284 3790128 4896144 5211426 5685192 6948568 7817139 9554281 10422852 11370384 13897136 15634278 19108562 20845704 28662843 31268556 38217124 41691408 57325686 62537112 76434248 85988529 114651372 125074224 152868496 171977058 229302744 343954116 458605488 687908232 1375816464