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113552124432 = 24337127503441
BaseRepresentation
bin110100111000000111…
…0111110101000010000
3101212002122100121001020
41221300032332220100
53330023320440212
6124055400035440
711126633063235
oct1516016765020
9355078317036
10113552124432
114418023983a
121a010462b80
13a9283b6896
1456d2c6d78c
152e48d9dd8c
hex1a703bea10

113552124432 has 80 divisors (see below), whose sum is σ = 303643994112. Its totient is φ = 36537661440.

The previous prime is 113552124391. The next prime is 113552124449. The reversal of 113552124432 is 234421255311.

It is a super-2 number, since 2×1135521244322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113552124393 and 113552124402.

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, 26169 + ... + 477272.

Almost surely, 2113552124432 is an apocalyptic number.

113552124432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113552124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151821997056).

113552124432 is an abundant number, since it is smaller than the sum of its proper divisors (190091869680).

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

113552124432 is a wasteful number, since it uses less digits than its factorization.

113552124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503616 (or 503610 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

Adding to 113552124432 its reverse (234421255311), we get a palindrome (347973379743).

The spelling of 113552124432 in words is "one hundred thirteen billion, five hundred fifty-two million, one hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 127 148 222 254 296 381 444 508 592 762 888 1016 1524 1776 2032 3048 4699 6096 9398 14097 18796 28194 37592 56388 75184 112776 225552 503441 1006882 1510323 2013764 3020646 4027528 6041292 8055056 12082584 18627317 24165168 37254634 55881951 63937007 74509268 111763902 127874014 149018536 191811021 223527804 255748028 298037072 383622042 447055608 511496056 767244084 894111216 1022992112 1534488168 2365669259 3068976336 4731338518 7097007777 9462677036 14194015554 18925354072 28388031108 37850708144 56776062216 113552124432