Search a number
-
+
115551757672 = 231317232997987
BaseRepresentation
bin110101110011101101…
…0111110010101101000
3102001021000000111011121
41223213122332111220
53343122222221142
6125030031105024
711230323506611
oct1534732762550
9361230014147
10115551757672
1145006a5589a
121a48a072174
13ab86763010
145842670c08
1530146dcc67
hex1ae76be568

115551757672 has 128 divisors (see below), whose sum is σ = 266684140800. Its totient is φ = 46356000768.

The previous prime is 115551757669. The next prime is 115551757693. The reversal of 115551757672 is 276757155511.

It is a super-2 number, since 2×1155517576722 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1130263 + ... + 1228249.

It is an arithmetic number, because the mean of its divisors is an integer number (2083469850).

Almost surely, 2115551757672 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 115551757672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133342070400).

115551757672 is an abundant number, since it is smaller than the sum of its proper divisors (151132383128).

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

115551757672 is a wasteful number, since it uses less digits than its factorization.

115551757672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98075 (or 98071 counting only the distinct ones).

The product of its digits is 2572500, while the sum is 52.

The spelling of 115551757672 in words is "one hundred fifteen billion, five hundred fifty-one million, seven hundred fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 17 23 26 29 34 46 52 58 68 92 104 116 136 184 221 232 299 377 391 442 493 598 667 754 782 884 986 1196 1334 1508 1564 1768 1972 2392 2668 3016 3128 3944 5083 5336 6409 8671 10166 11339 12818 17342 20332 22678 25636 34684 40664 45356 51272 69368 90712 97987 147407 195974 294814 391948 589628 783896 1179256 1273831 1665779 2253701 2547662 2841623 3331558 4507402 5095324 5683246 6663116 9014804 10190648 11366492 13326232 18029608 21655127 22732984 29298113 36941099 38312917 43310254 48307591 58596226 65357329 73882198 76625834 86620508 96615182 117192452 130714658 147764396 153251668 173241016 193230364 234384904 261429316 295528792 306503336 386460728 498067921 522858632 627998683 849645277 996135842 1111074593 1255997366 1699290554 1992271684 2222149186 2511994732 3398581108 3984543368 4444298372 5023989464 6797162216 8888596744 14443969709 28887939418 57775878836 115551757672