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31796741472 = 2534314235413
BaseRepresentation
bin11101100111001110…
…111100010101100000
310001001222011211022120
4131213032330111200
51010104431211342
622335054304240
72203644562116
oct354716742540
9101058154276
1031796741472
1112537482541
1261b47b8080
132cc96b3c32
141778d13ab6
15c6173baec
hex7673bc560

31796741472 has 96 divisors (see below), whose sum is σ = 85483335168. Its totient is φ = 10343241216.

The previous prime is 31796741443. The next prime is 31796741479. The reversal of 31796741472 is 27414769713.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×317967414722 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31796741479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5871438 + ... + 5876850.

It is an arithmetic number, because the mean of its divisors is an integer number (890451408).

Almost surely, 231796741472 is an apocalyptic number.

31796741472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31796741472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42741667584).

31796741472 is an abundant number, since it is smaller than the sum of its proper divisors (53686593696).

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

31796741472 is a wasteful number, since it uses less digits than its factorization.

31796741472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6892 (or 6884 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 51.

The spelling of 31796741472 in words is "thirty-one billion, seven hundred ninety-six million, seven hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 1423 2064 2846 4128 4269 5413 5692 8538 10826 11384 16239 17076 21652 22768 32478 34152 43304 45536 61189 64956 68304 86608 122378 129912 136608 173216 183567 232759 244756 259824 367134 465518 489512 519648 698277 734268 931036 979024 1396554 1468536 1862072 1958048 2793108 2937072 3724144 5586216 5874144 7448288 7702699 11172432 15405398 22344864 23108097 30810796 46216194 61621592 92432388 123243184 184864776 246486368 331216057 369729552 662432114 739459104 993648171 1324864228 1987296342 2649728456 3974592684 5299456912 7949185368 10598913824 15898370736 31796741472