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31373034672 = 2437374753693
BaseRepresentation
bin11101001101111110…
…101000010010110000
32222222102220021212010
4131031332220102300
51003222444102142
622225041002520
72160311252250
oct351576502260
988872807763
1031373034672
111233a295331
1260b6923440
132c5c991c55
14173893b960
15c39443e9c
hex74dfa84b0

31373034672 has 160 divisors (see below), whose sum is σ = 97154353152. Its totient is φ = 8535739392.

The previous prime is 31373034643. The next prime is 31373034673. The reversal of 31373034672 is 27643037313.

It is a self number, because there is not a number n which added to its sum of digits gives 31373034672.

It is not an unprimeable number, because it can be changed into a prime (31373034673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 557458 + ... + 611150.

Almost surely, 231373034672 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 31373034672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48577176576).

31373034672 is an abundant number, since it is smaller than the sum of its proper divisors (65781318480).

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

31373034672 is a wasteful number, since it uses less digits than its factorization.

31373034672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53795 (or 53789 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 39.

The spelling of 31373034672 in words is "thirty-one billion, three hundred seventy-three million, thirty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 47 48 56 74 84 94 111 112 141 148 168 188 222 259 282 296 329 336 376 444 518 564 592 658 752 777 888 987 1036 1128 1316 1554 1739 1776 1974 2072 2256 2632 3108 3478 3948 4144 5217 5264 6216 6956 7896 10434 12173 12432 13912 15792 20868 24346 27824 36519 41736 48692 53693 73038 83472 97384 107386 146076 161079 194768 214772 292152 322158 375851 429544 584304 644316 751702 859088 1127553 1288632 1503404 1986641 2255106 2523571 2577264 3006808 3973282 4510212 5047142 5959923 6013616 7570713 7946564 9020424 10094284 11919846 13906487 15141426 15893128 17664997 18040848 20188568 23839692 27812974 30282852 31786256 35329994 40377136 41719461 47679384 52994991 55625948 60565704 70659988 83438922 93372127 95358768 105989982 111251896 121131408 141319976 166877844 186744254 211979964 222503792 280116381 282639952 333755688 373488508 423959928 560232762 653604889 667511376 746977016 847919856 1120465524 1307209778 1493954032 1960814667 2240931048 2614419556 3921629334 4481862096 5228839112 7843258668 10457678224 15686517336 31373034672