Search a number
-
+
1155487404096 = 2632447892
BaseRepresentation
bin10000110100001000011…
…010101001000001000000
311002110111220101221122100
4100310020122221001000
5122412414233412341
62242453521110400
7146324024610654
oct20641032510100
94073456357570
101155487404096
11406048574a53
12167b36488400
1384c6766b66c
143dcd68d2a64
15200cbe783b6
hex10d086a9040

1155487404096 has 63 divisors (see below), whose sum is σ = 3312069962461. Its totient is φ = 385153868544.

The previous prime is 1155487404091. The next prime is 1155487404103. The reversal of 1155487404096 is 6904047845511.

The square root of 1155487404096 is 1074936.

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

1155487404096 is a `hidden beast` number, since 1 + 1 + 5 + 548 + 7 + 4 + 0 + 4 + 0 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69556677696 + 1085930726400 = 263736^2 + 1042080^2 .

It is a super-2 number, since 2×11554874040962 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1155487404091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25776070 + ... + 25820858.

Almost surely, 21155487404096 is an apocalyptic number.

1155487404096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1155487404096 is the 1074936-th square number.

It is an amenable number.

1155487404096 is an abundant number, since it is smaller than the sum of its proper divisors (2156582558365).

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

1155487404096 is an frugal number, since it uses more digits than its factorization.

1155487404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89596 (or 44794 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1155487404096 in words is "one trillion, one hundred fifty-five billion, four hundred eighty-seven million, four hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 44789 89578 134367 179156 268734 358312 403101 537468 716624 806202 1074936 1433248 1612404 2149872 2866496 3224808 4299744 6449616 8599488 12899232 25798464 2006054521 4012109042 6018163563 8024218084 12036327126 16048436168 18054490689 24072654252 32096872336 36108981378 48145308504 64193744672 72217962756 96290617008 128387489344 144435925512 192581234016 288871851024 385162468032 577743702048 1155487404096