Search a number
-
+
111623430432 = 2532971564713
BaseRepresentation
bin110011111110101000…
…1100110000100100000
3101200010020011210021010
41213331101212010200
53312101044233212
6123140141300520
711031063334533
oct1477521460440
9350106153233
10111623430432
1143380575458
1219772564740
13a6ab947627
14558ca56a1a
152d848c403c
hex19fd466120

111623430432 has 96 divisors (see below), whose sum is σ = 307385124480. Its totient is φ = 35418736640.

The previous prime is 111623430377. The next prime is 111623430481. The reversal of 111623430432 is 234034326111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 111623430432.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 84693 + ... + 480020.

It is an arithmetic number, because the mean of its divisors is an integer number (3201928380).

Almost surely, 2111623430432 is an apocalyptic number.

111623430432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111623430432 is an abundant number, since it is smaller than the sum of its proper divisors (195761694048).

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

111623430432 is a wasteful number, since it uses less digits than its factorization.

111623430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564826 (or 564818 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 111623430432 its reverse (234034326111), we get a palindrome (345657756543).

The spelling of 111623430432 in words is "one hundred eleven billion, six hundred twenty-three million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 71 87 96 116 142 174 213 232 284 348 426 464 568 696 852 928 1136 1392 1704 2059 2272 2784 3408 4118 6177 6816 8236 12354 16472 24708 32944 49416 65888 98832 197664 564713 1129426 1694139 2258852 3388278 4517704 6776556 9035408 13553112 16376677 18070816 27106224 32753354 40094623 49130031 54212448 65506708 80189246 98260062 120283869 131013416 160378492 196520124 240567738 262026832 320756984 393040248 481135476 524053664 641513968 786080496 962270952 1162744067 1283027936 1572160992 1924541904 2325488134 3488232201 3849083808 4650976268 6976464402 9301952536 13952928804 18603905072 27905857608 37207810144 55811715216 111623430432