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31245991936 = 21961977
BaseRepresentation
bin11101000110011010…
…000000000000000000
32222122120211211222121
4131012122000000000
51002442433220221
622204302014024
72154206356255
oct350632000000
988576754877
1031245991936
1112284603235
126080277314
132c3c570533
141725b0b42c
15c2d1eba41
hex746680000

31245991936 has 80 divisors (see below), whose sum is σ = 63581393700. Its totient is φ = 15351152640.

The previous prime is 31245991927. The next prime is 31245991937. The reversal of 31245991936 is 63919954213.

It can be written as a sum of positive squares in 2 ways, for example, as 31201689600 + 44302336 = 176640^2 + 6656^2 .

It is not an unprimeable number, because it can be changed into a prime (31245991937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31981080 + ... + 31982056.

Almost surely, 231245991936 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 31245991936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31790696850).

31245991936 is an abundant number, since it is smaller than the sum of its proper divisors (32335401764).

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

31245991936 is an frugal number, since it uses more digits than its factorization.

31245991936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1040 counting only the distinct ones).

The product of its digits is 1574640, while the sum is 52.

The spelling of 31245991936 in words is "thirty-one billion, two hundred forty-five million, nine hundred ninety-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 256 488 512 976 977 1024 1952 1954 2048 3904 3908 4096 7808 7816 8192 15616 15632 16384 31232 31264 32768 59597 62464 62528 65536 119194 124928 125056 131072 238388 249856 250112 262144 476776 499712 500224 524288 953552 999424 1000448 1907104 1998848 2000896 3814208 3997696 4001792 7628416 7995392 8003584 15256832 15990784 16007168 30513664 31981568 32014336 61027328 64028672 122054656 128057344 244109312 256114688 488218624 512229376 976437248 1952874496 3905748992 7811497984 15622995968 31245991936