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31996319960 = 23511194219091
BaseRepresentation
bin11101110011001000…
…010001100011011000
310001120212201110112102
4131303020101203120
51011012024214320
622410544102532
72211620142443
oct356310214330
9101525643472
1031996319960
111262a0a7840
12624b604a48
13302bb51407
14179762665a
15c74011175
hex7732118d8

31996319960 has 128 divisors (see below), whose sum is σ = 82875398400. Its totient is φ = 10995264000.

The previous prime is 31996319959. The next prime is 31996319963. The reversal of 31996319960 is 6991369913.

It is a junction number, because it is equal to n+sod(n) for n = 31996319896 and 31996319905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31996319963) 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, 3515015 + ... + 3524105.

It is an arithmetic number, because the mean of its divisors is an integer number (647464050).

Almost surely, 231996319960 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 31996319960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41437699200).

31996319960 is an abundant number, since it is smaller than the sum of its proper divisors (50879078440).

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

31996319960 is a wasteful number, since it uses less digits than its factorization.

31996319960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9553 (or 9549 counting only the distinct ones).

The product of its (nonzero) digits is 2125764, while the sum is 56.

The spelling of 31996319960 in words is "thirty-one billion, nine hundred ninety-six million, three hundred nineteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 421 440 760 836 842 1045 1672 1684 2090 2105 3368 4180 4210 4631 7999 8360 8420 9091 9262 15998 16840 18182 18524 23155 31996 36364 37048 39995 45455 46310 63992 72728 79990 87989 90910 92620 100001 159980 172729 175978 181820 185240 200002 319960 345458 351956 363640 400004 439945 500005 690916 703912 800008 863645 879890 1000010 1381832 1727290 1759780 1900019 2000020 3454580 3519560 3800038 3827311 4000040 6909160 7600076 7654622 9500095 15200152 15309244 19000190 19136555 30618488 38000380 38273110 42100421 72718909 76000760 76546220 84200842 145437818 153092440 168401684 210502105 290875636 336803368 363594545 421004210 581751272 727189090 799907999 842008420 1454378180 1599815998 1684016840 2908756360 3199631996 3999539995 6399263992 7999079990 15998159980 31996319960