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31905645904 = 241133121559
BaseRepresentation
bin11101101101101110…
…011000010101010000
310001100120002202010001
4131231232120111100
51010320321132104
622353544415344
72206436341546
oct355556302520
9101316082101
1031905645904
11125929a6000
126225177554
133016124722
141789581d96
15c6b09eaa4
hex76db98550

31905645904 has 120 divisors (see below), whose sum is σ = 70303446720. Its totient is φ = 14025739200.

The previous prime is 31905645901. The next prime is 31905645911. The reversal of 31905645904 is 40954650913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31905645901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20464677 + ... + 20466235.

It is an arithmetic number, because the mean of its divisors is an integer number (585862056).

Almost surely, 231905645904 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 31905645904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35151723360).

31905645904 is an abundant number, since it is smaller than the sum of its proper divisors (38397800816).

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

31905645904 is a wasteful number, since it uses less digits than its factorization.

31905645904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 46.

The spelling of 31905645904 in words is "thirty-one billion, nine hundred five million, six hundred forty-five thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 242 248 341 484 496 682 961 968 1331 1364 1559 1922 1936 2662 2728 3118 3751 3844 5324 5456 6236 7502 7688 10571 10648 12472 15004 15376 17149 21142 21296 24944 30008 34298 41261 42284 48329 60016 68596 82522 84568 96658 116281 137192 165044 169136 188639 193316 232562 274384 330088 377278 386632 465124 531619 660176 754556 773264 930248 1063238 1279091 1498199 1509112 1860496 2075029 2126476 2558182 2996398 3018224 4150058 4252952 5116364 5847809 5992796 8300116 8505904 10232728 11695618 11985592 16480189 16600232 20465456 23391236 23971184 32960378 33200464 46782472 64325899 65920756 93564944 128651798 131841512 181282079 257303596 263683024 362564158 514607192 725128316 1029214384 1450256632 1994102869 2900513264 3988205738 7976411476 15952822952 31905645904