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115152838704 = 2434271327869
BaseRepresentation
bin110101100111110100…
…1001110000000110000
3102000020012101022020000
41223033221032000300
53341313111314304
6124522300550000
711214410656551
oct1531751160060
9360205338200
10115152838704
11449218590a2
121a398552300
13ab21c0c7a7
1458056ac328
152ede68e939
hex1acfa4e030

115152838704 has 100 divisors (see below), whose sum is σ = 334516580640. Its totient is φ = 38242523520.

The previous prime is 115152838687. The next prime is 115152838709. The reversal of 115152838704 is 407838251511.

115152838704 is a `hidden beast` number, since 1 + 1 + 51 + 528 + 3 + 8 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 115152838704.

It is not an unprimeable number, because it can be changed into a prime (115152838709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 187282 + ... + 515150.

Almost surely, 2115152838704 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 115152838704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167258290320).

115152838704 is an abundant number, since it is smaller than the sum of its proper divisors (219363741936).

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

115152838704 is a wasteful number, since it uses less digits than its factorization.

115152838704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328160 (or 328145 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 115152838704 in words is "one hundred fifteen billion, one hundred fifty-two million, eight hundred thirty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 271 324 432 542 648 813 1084 1296 1626 2168 2439 3252 4336 4878 6504 7317 9756 13008 14634 19512 21951 29268 39024 43902 58536 87804 117072 175608 327869 351216 655738 983607 1311476 1967214 2622952 2950821 3934428 5245904 5901642 7868856 8852463 11803284 15737712 17704926 23606568 26557389 35409852 47213136 53114778 70819704 88852499 106229556 141639408 177704998 212459112 266557497 355409996 424918224 533114994 710819992 799672491 1066229988 1421639984 1599344982 2132459976 2399017473 3198689964 4264919952 4798034946 6397379928 7197052419 9596069892 12794759856 14394104838 19192139784 28788209676 38384279568 57576419352 115152838704