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31664411020 = 225117110120071
BaseRepresentation
bin11101011111010110…
…001001000110001100
310000201202011202001201
4131133112021012030
51004322042123040
622314010115244
72200450024054
oct353726110614
9100652152051
1031664411020
1112479809730
12617841bb24
132ca81607a8
141765508564
15c54ceca9a
hex75f58918c

31664411020 has 96 divisors (see below), whose sum is σ = 74294019072. Its totient is φ = 11239200000.

The previous prime is 31664410997. The next prime is 31664411039. The reversal of 31664411020 is 2011446613.

It is a self number, because there is not a number n which added to its sum of digits gives 31664411020.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1567585 + ... + 1587655.

It is an arithmetic number, because the mean of its divisors is an integer number (773896032).

Almost surely, 231664411020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31664411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37147009536).

31664411020 is an abundant number, since it is smaller than the sum of its proper divisors (42629608052).

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

31664411020 is a wasteful number, since it uses less digits than its factorization.

31664411020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20263 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 31664411020 its reverse (2011446613), we get a palindrome (33675857633).

The spelling of 31664411020 in words is "thirty-one billion, six hundred sixty-four million, four hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 101 110 142 202 220 284 355 404 505 710 781 1010 1111 1420 1562 2020 2222 3124 3905 4444 5555 7171 7810 11110 14342 15620 20071 22220 28684 35855 40142 71710 78881 80284 100355 143420 157762 200710 220781 315524 394405 401420 441562 788810 883124 1103905 1425041 1577620 2027171 2207810 2850082 4054342 4415620 5700164 7125205 8108684 10135855 14250410 15675451 20271710 22298881 28500820 31350902 40543420 44597762 62701804 78377255 89195524 111494405 143929141 156754510 222988810 287858282 313509020 445977620 575716564 719645705 1439291410 1583220551 2878582820 3166441102 6332882204 7916102755 15832205510 31664411020