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31476437056 = 266723312
BaseRepresentation
bin11101010100001001…
…000101000001000000
310000020122110200021001
4131110021011001000
51003430431441211
622243213141344
72163005205031
oct352411050100
9100218420231
1031476437056
11123926a0049
12612548a854
132c782272ac
141748576a88
15c4356bac1
hex754245040

31476437056 has 63 divisors (see below), whose sum is σ = 63599364927. Its totient is φ = 15456481920.

The previous prime is 31476437051. The next prime is 31476437207. The reversal of 31476437056 is 65073467413.

The square root of 31476437056 is 177416.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 31476436997 and 31476437015.

It is not an unprimeable number, because it can be changed into a prime (31476437051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 95094811 + ... + 95095141.

It is an arithmetic number, because the mean of its divisors is an integer number (1009513729).

Almost surely, 231476437056 is an apocalyptic number.

31476437056 is the 177416-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31476437056

31476437056 is an abundant number, since it is smaller than the sum of its proper divisors (32122927871).

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

31476437056 is an frugal number, since it uses more digits than its factorization.

31476437056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 31476437056 in words is "thirty-one billion, four hundred seventy-six million, four hundred thirty-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 67 134 268 331 536 662 1072 1324 2144 2648 4288 4489 5296 8978 10592 17956 21184 22177 35912 44354 71824 88708 109561 143648 177416 219122 287296 354832 438244 709664 876488 1419328 1485859 1752976 2971718 3505952 5943436 7011904 7340587 11886872 14681174 23773744 29362348 47547488 58724696 95094976 117449392 234898784 469797568 491819329 983638658 1967277316 3934554632 7869109264 15738218528 31476437056