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31668019248 = 2433129537207
BaseRepresentation
bin11101011111100011…
…111010000000110000
310000201222222001121210
4131133203322000300
51004324003103443
622314215320120
72200522502505
oct353743720060
9100658861553
1031668019248
1112480853638
126179680040
132ca8b24c38
141765ba74ac
15c552b1c33
hex75f8fa030

31668019248 has 80 divisors (see below), whose sum is σ = 84488370176. Its totient is φ = 10210613760.

The previous prime is 31668019211. The next prime is 31668019267. The reversal of 31668019248 is 84291086613.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 31668019197 and 31668019206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4390461 + ... + 4397667.

Almost surely, 231668019248 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 31668019248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42244185088).

31668019248 is an abundant number, since it is smaller than the sum of its proper divisors (52820350928).

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

31668019248 is a wasteful number, since it uses less digits than its factorization.

31668019248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 31668019248 in words is "thirty-one billion, six hundred sixty-eight million, nineteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 2953 5906 7207 8859 11812 14414 17718 21621 23624 28828 35436 43242 47248 57656 70872 86484 91543 115312 141744 172968 183086 223417 274629 345936 366172 446834 549258 670251 732344 893668 1098516 1340502 1464688 1787336 2197032 2681004 3574672 4394064 5362008 10724016 21282271 42564542 63846813 85129084 127693626 170258168 255387252 340516336 510774504 659750401 1021549008 1319500802 1979251203 2639001604 3958502406 5278003208 7917004812 10556006416 15834009624 31668019248