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31678288248072 = 23312759317526373
BaseRepresentation
bin1110011001111101011010…
…00111100011110100001000
311011011102012101010022020210
413030332231013203310020
513123004113242414242
6151212445452521120
76446452341205404
oct714765507436410
9134142171108223
1031678288248072
11a103760957004
12367756a7801a0
13148a33296771b
147b734734c104
1539e059455d9c
hex1ccfad1e3d08

31678288248072 has 64 divisors (see below), whose sum is σ = 79953916078080. Its totient is φ = 10458617121792.

The previous prime is 31678288248071. The next prime is 31678288248091. The reversal of 31678288248072 is 27084288287613.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31678288247994 and 31678288248012.

It is not an unprimeable number, because it can be changed into a prime (31678288248071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6955723 + ... + 10570650.

It is an arithmetic number, because the mean of its divisors is an integer number (1249279938720).

Almost surely, 231678288248072 is an apocalyptic number.

It is an amenable number.

31678288248072 is an abundant number, since it is smaller than the sum of its proper divisors (48275627830008).

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

31678288248072 is a wasteful number, since it uses less digits than its factorization.

31678288248072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17527102 (or 17527098 counting only the distinct ones).

The product of its (nonzero) digits is 115605504, while the sum is 66.

The spelling of 31678288248072 in words is "thirty-one trillion, six hundred seventy-eight billion, two hundred eighty-eight million, two hundred forty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 127 254 381 508 593 762 1016 1186 1524 1779 2372 3048 3558 4744 7116 14232 75311 150622 225933 301244 451866 602488 903732 1807464 17526373 35052746 52579119 70105492 105158238 140210984 210316476 420632952 2225849371 4451698742 6677548113 8903397484 10393139189 13355096226 17806794968 20786278378 26710192452 31179417567 41572556756 53420384904 62358835134 83145113512 124717670268 249435340536 1319928677003 2639857354006 3959786031009 5279714708012 7919572062018 10559429416024 15839144124036 31678288248072