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72842176634315 = 511311301271112113
BaseRepresentation
bin10000100011111111100100…
…000100000001110111001011
3100112220122101112101101012112
4100203333210010001313023
534021421234204244230
6414531122312332535
721225450020305424
oct2043774404016713
9315818345341175
1072842176634315
112123421479a280
1282053756a414b
133184cac20a29a
1413db819d6264b
15864bd3900d95
hex423fe4101dcb

72842176634315 has 64 divisors (see below), whose sum is σ = 98553196191744. Its totient is φ = 51204691200000.

The previous prime is 72842176634281. The next prime is 72842176634321. The reversal of 72842176634315 is 51343667124827.

It is a happy number.

It is not a de Polignac number, because 72842176634315 - 240 = 71742665006539 is a prime.

It is a super-2 number, since 2×728421766343152 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6013547699 + ... + 6013559811.

It is an arithmetic number, because the mean of its divisors is an integer number (1539893690496).

Almost surely, 272842176634315 is an apocalyptic number.

72842176634315 is a deficient number, since it is larger than the sum of its proper divisors (25711019557429).

72842176634315 is a wasteful number, since it uses less digits than its factorization.

72842176634315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16172.

The product of its digits is 40642560, while the sum is 59.

The spelling of 72842176634315 in words is "seventy-two trillion, eight hundred forty-two billion, one hundred seventy-six million, six hundred thirty-four thousand, three hundred fifteen".

Divisors: 1 5 11 31 55 155 341 1301 1705 2711 6505 12113 13555 14311 29821 40331 60565 71555 84041 133243 149105 201655 375503 420205 443641 666215 924451 1877515 2218205 3527011 4130533 4622255 15759013 17635055 20652665 32838343 38797121 78795065 109337341 164191715 173349143 193985605 361221773 488529403 546686705 866745715 1017988633 1202710751 1806108865 2442647015 5089943165 5373823433 6013553755 11197874963 26869117165 42722684243 55989374815 213613421215 469949526673 1324403211533 2349747633365 6622016057665 14568435326863 72842176634315