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20134313232 = 24311115333073
BaseRepresentation
bin10010110000000110…
…010011110100010000
31220222012021002100220
4102300012103310100
5312213341010412
613125524113040
71311642560445
oct226006236420
956865232326
1020134313232
1185a23275a0
123a9ab35780
131b8b473717
14d900899cc
157cc94c68c
hex4b0193d10

20134313232 has 80 divisors (see below), whose sum is σ = 56793085248. Its totient is φ = 6095831040.

The previous prime is 20134313209. The next prime is 20134313257. The reversal of 20134313232 is 23231343102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592248 + ... + 625320.

Almost surely, 220134313232 is an apocalyptic number.

20134313232 is a gapful number since it is divisible by the number (22) 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 20134313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28396542624).

20134313232 is an abundant number, since it is smaller than the sum of its proper divisors (36658772016).

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

20134313232 is a wasteful number, since it uses less digits than its factorization.

20134313232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34248 (or 34242 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20134313232 its reverse (23231343102), we get a palindrome (43365656334).

The spelling of 20134313232 in words is "twenty billion, one hundred thirty-four million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1153 2306 3459 4612 6918 9224 12683 13836 18448 25366 27672 33073 38049 50732 55344 66146 76098 99219 101464 132292 152196 198438 202928 264584 304392 363803 396876 529168 608784 727606 793752 1091409 1455212 1587504 2182818 2910424 4365636 5820848 8731272 17462544 38133169 76266338 114399507 152532676 228799014 305065352 419464859 457598028 610130704 838929718 915196056 1258394577 1677859436 1830392112 2516789154 3355718872 5033578308 6711437744 10067156616 20134313232