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31117585061248 = 2773708764237
BaseRepresentation
bin1110001001101001000001…
…00110101001010110000000
311002011210221000011012021121
413010310200212221112000
513034312303233424443
6150103115441402024
76361112523565000
oct704644046512600
9132153830135247
1031117585061248
119a07991595914
1235a6968339314
1314494b64a59ba
1479815610c000
1538e68e4bd4ed
hex1c4d209a9580

31117585061248 has 64 divisors (see below), whose sum is σ = 72293952276000. Its totient is φ = 13336107864576.

The previous prime is 31117585061209. The next prime is 31117585061273. The reversal of 31117585061248 is 84216058571113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×311175850612482 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31117585061195 and 31117585061204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354338215 + ... + 354426022.

Almost surely, 231117585061248 is an apocalyptic number.

It is an amenable number.

31117585061248 is an abundant number, since it is smaller than the sum of its proper divisors (41176367214752).

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

31117585061248 is an frugal number, since it uses more digits than its factorization.

31117585061248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708764272 (or 708764246 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 52.

The spelling of 31117585061248 in words is "thirty-one trillion, one hundred seventeen billion, five hundred eighty-five million, sixty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 343 392 448 686 784 896 1372 1568 2744 3136 5488 6272 10976 21952 43904 708764237 1417528474 2835056948 4961349659 5670113896 9922699318 11340227792 19845398636 22680455584 34729447613 39690797272 45360911168 69458895226 79381594544 90721822336 138917790452 158763189088 243106133291 277835580904 317526378176 486212266582 555671161808 635052756352 972424533164 1111342323616 1944849066328 2222684647232 3889698132656 4445369294464 7779396265312 15558792530624 31117585061248