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638274000312 = 2332131994934183
BaseRepresentation
bin10010100100111000001…
…10000101010110111000
32021000111102010201112100
421102130012011112320
540424141121002222
61205115150543400
764054011325524
oct11223406052670
92230442121470
10638274000312
11226766040513
12a3850807b60
134825c25c280
1422c6d51cd84
151190a0674ac
hex949c1855b8

638274000312 has 96 divisors (see below), whose sum is σ = 1861780284000. Its totient is φ = 196376410368.

The previous prime is 638274000307. The next prime is 638274000347. The reversal of 638274000312 is 213000472836.

It is a happy number.

638274000312 is a `hidden beast` number, since 638 + 2 + 7 + 4 + 0 + 0 + 0 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 18655173 + ... + 18689355.

It is an arithmetic number, because the mean of its divisors is an integer number (19393544625).

Almost surely, 2638274000312 is an apocalyptic number.

It is an amenable number.

638274000312 is an abundant number, since it is smaller than the sum of its proper divisors (1223506283688).

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

638274000312 is a wasteful number, since it uses less digits than its factorization.

638274000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54157 (or 54150 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 638274000312 in words is "six hundred thirty-eight billion, two hundred seventy-four million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 19949 34183 39898 59847 68366 79796 102549 119694 136732 159592 179541 205098 239388 259337 273464 307647 359082 410196 444379 478776 518674 615294 718164 778011 820392 888758 1037348 1230588 1333137 1436328 1556022 1777516 2074696 2334033 2461176 2666274 3112044 3555032 3999411 4668066 5332548 6224088 7998822 9336132 10665096 15997644 18672264 31995288 681916667 1363833334 2045750001 2727666668 4091500002 5455333336 6137250003 8183000004 8864916671 12274500006 16366000008 17729833342 24549000012 26594750013 35459666684 49098000024 53189500026 70919333368 79784250039 106379000052 159568500078 212758000104 319137000156 638274000312