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32020332032 = 29137167757
BaseRepresentation
bin11101110100100011…
…110111111000000000
310001122112220101220102
4131310203313320000
51011034201111112
622413202501532
72212331221463
oct356443677000
9101575811812
1032020332032
1112641708427
1262576648a8
133033b0aa40
14179a8b72da
15c761a5bc2
hex7748f7e00

32020332032 has 80 divisors (see below), whose sum is σ = 69870965472. Its totient is φ = 14570250240.

The previous prime is 32020332013. The next prime is 32020332053. The reversal of 32020332032 is 23023302023.

It is a junction number, because it is equal to n+sod(n) for n = 32020331995 and 32020332013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438698 + ... + 506454.

Almost surely, 232020332032 is an apocalyptic number.

32020332032 is a gapful number since it is divisible by the number (32) 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 32020332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34935482736).

32020332032 is an abundant number, since it is smaller than the sum of its proper divisors (37850633440).

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

32020332032 is an equidigital number, since it uses as much as digits as its factorization.

32020332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67859 (or 67843 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 32020332032 its reverse (23023302023), we get a palindrome (55043634055).

The spelling of 32020332032 in words is "thirty-two billion, twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 208 256 284 416 512 568 832 923 1136 1664 1846 2272 3328 3692 4544 6656 7384 9088 14768 18176 29536 36352 59072 67757 118144 135514 236288 271028 472576 542056 880841 1084112 1761682 2168224 3523364 4336448 4810747 7046728 8672896 9621494 14093456 17345792 19242988 28186912 34691584 38485976 56373824 62539711 76971952 112747648 125079422 153943904 225495296 250158844 307887808 450990592 500317688 615775616 1000635376 1231551232 2001270752 2463102464 4002541504 8005083008 16010166016 32020332032