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1155755016 = 2332131379013
BaseRepresentation
bin100010011100011…
…0110110000001000
32222112202102211100
41010320312300020
54331333130031
6310403501400
740432520103
oct10470666010
92875672740
101155755016
11543436939
12283087860
131555a2710
14ad6d373a
156b6eade6
hex44e36c08

1155755016 has 96 divisors (see below), whose sum is σ = 3395934360. Its totient is φ = 352982016.

The previous prime is 1155755011. The next prime is 1155755021. The reversal of 1155755016 is 6105575511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1155755011) and next prime (1155755021).

It can be written as a sum of positive squares in 4 ways, for example, as 826332516 + 329422500 = 28746^2 + 18150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1155755011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123726 + ... + 132738.

Almost surely, 21155755016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155755016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697967180).

1155755016 is an abundant number, since it is smaller than the sum of its proper divisors (2240179344).

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

1155755016 is a wasteful number, since it uses less digits than its factorization.

1155755016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9168 counting only the distinct ones).

The product of its (nonzero) digits is 26250, while the sum is 36.

The square root of 1155755016 is about 33996.3971032226. The cubic root of 1155755016 is about 1049.4343184262.

The spelling of 1155755016 in words is "one billion, one hundred fifty-five million, seven hundred fifty-five thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 137 156 234 274 312 411 468 548 822 936 1096 1233 1644 1781 2466 3288 3562 4932 5343 7124 9013 9864 10686 14248 16029 18026 21372 27039 32058 36052 42744 54078 64116 72104 81117 108156 117169 128232 162234 216312 234338 324468 351507 468676 648936 703014 937352 1054521 1234781 1406028 2109042 2469562 2812056 3704343 4218084 4939124 7408686 8436168 9878248 11113029 14817372 16052153 22226058 29634744 32104306 44452116 48156459 64208612 88904232 96312918 128417224 144469377 192625836 288938754 385251672 577877508 1155755016