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1913208768 = 26334332557
BaseRepresentation
bin111001000001001…
…0011111111000000
311221100001002001000
41302002103333000
512404240140033
6513502412000
765261002062
oct16202237700
94840032030
101913208768
118a1a58079
12454891000
132464a9ac3
14142145732
15b2e6ba13
hex72093fc0

1913208768 has 112 divisors (see below), whose sum is σ = 5639673760. Its totient is φ = 636014592.

The previous prime is 1913208767. The next prime is 1913208799. The reversal of 1913208768 is 8678023191.

1913208768 is a `hidden beast` number, since 191 + 320 + 87 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1913208767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746946 + ... + 749502.

It is an arithmetic number, because the mean of its divisors is an integer number (50354230).

Almost surely, 21913208768 is an apocalyptic number.

1913208768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1913208768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819836880).

1913208768 is an abundant number, since it is smaller than the sum of its proper divisors (3726464992).

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

1913208768 is a wasteful number, since it uses less digits than its factorization.

1913208768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1913208768 is about 43740.2419746393. The cubic root of 1913208768 is about 1241.4258589289.

It can be divided in two parts, 1913 and 208768, that added together give a square (210681 = 4592).

The spelling of 1913208768 in words is "one billion, nine hundred thirteen million, two hundred eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 433 576 864 866 1299 1728 1732 2557 2598 3464 3897 5114 5196 6928 7671 7794 10228 10392 11691 13856 15342 15588 20456 20784 23013 23382 27712 30684 31176 40912 41568 46026 46764 61368 62352 69039 81824 83136 92052 93528 122736 124704 138078 163648 184104 187056 245472 249408 276156 368208 374112 490944 552312 736416 748224 1104624 1107181 1472832 2209248 2214362 3321543 4418496 4428724 6643086 8857448 9964629 13286172 17714896 19929258 26572344 29893887 35429792 39858516 53144688 59787774 70859584 79717032 106289376 119575548 159434064 212578752 239151096 318868128 478302192 637736256 956604384 1913208768