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31990735944 = 2333316777057
BaseRepresentation
bin11101110010110010…
…111110010001001000
310001120111012202201000
4131302302332101020
51011004112022234
622410224255000
72211521524506
oct356262762110
9101514182630
1031990735944
1112626a33452
126249771460
13302a94786b
1417969b1676
15c737ab899
hex772cbe448

31990735944 has 128 divisors (see below), whose sum is σ = 91878220800. Its totient is φ = 10302888960.

The previous prime is 31990735943. The next prime is 31990735951. The reversal of 31990735944 is 44953709913.

It is a happy number.

It is a super-2 number, since 2×319907359442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (31990735943) 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, 4529664 + ... + 4536720.

It is an arithmetic number, because the mean of its divisors is an integer number (717798600).

Almost surely, 231990735944 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 31990735944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45939110400).

31990735944 is an abundant number, since it is smaller than the sum of its proper divisors (59887484856).

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

31990735944 is a wasteful number, since it uses less digits than its factorization.

31990735944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7770 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 31990735944 in words is "thirty-one billion, nine hundred ninety million, seven hundred thirty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 93 108 124 186 216 248 279 372 558 677 744 837 1116 1354 1674 2031 2232 2708 3348 4062 5416 6093 6696 7057 8124 12186 14114 16248 18279 20987 21171 24372 28228 36558 41974 42342 48744 56456 62961 63513 73116 83948 84684 125922 127026 146232 167896 169368 188883 190539 218767 251844 254052 377766 381078 437534 503688 508104 566649 656301 755532 762156 875068 1133298 1312602 1511064 1524312 1750136 1968903 2266596 2625204 3937806 4533192 4777589 5250408 5906709 7875612 9555178 11813418 14332767 15751224 19110356 23626836 28665534 38220712 42998301 47253672 57331068 85996602 114662136 128994903 148105259 171993204 257989806 296210518 343986408 444315777 515979612 592421036 888631554 1031959224 1184842072 1332947331 1777263108 2665894662 3554526216 3998841993 5331789324 7997683986 10663578648 15995367972 31990735944