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675928634016 = 25319426186969
BaseRepresentation
bin10011101011000000111…
…11000111001010100000
32101121200121222022022110
421311200133013022200
542033300212242031
61234303424235320
766556066406646
oct11654037071240
92347617868273
10675928634016
112407291020a9
12aabbb16bb40
134b98044440c
1424a0240d196
15128b0bbac46
hex9d607c72a0

675928634016 has 96 divisors (see below), whose sum is σ = 1868157345600. Its totient is φ = 213398599680.

The previous prime is 675928633981. The next prime is 675928634021. The reversal of 675928634016 is 610436829576.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7728580 + ... + 7815548.

It is an arithmetic number, because the mean of its divisors is an integer number (19459972350).

It is a 1-persistent number, because it is pandigital, but 2⋅675928634016 = 1351857268032 is not.

Almost surely, 2675928634016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 675928634016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934078672800).

675928634016 is an abundant number, since it is smaller than the sum of its proper divisors (1192228711584).

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

675928634016 is a wasteful number, since it uses less digits than its factorization.

675928634016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91262 (or 91254 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 675928634016 in words is "six hundred seventy-five billion, nine hundred twenty-eight million, six hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 4261 8522 12783 17044 25566 34088 51132 68176 80959 86969 102264 136352 161918 173938 204528 242877 260907 323836 347876 409056 485754 521814 647672 695752 971508 1043628 1295344 1391504 1652411 1943016 2087256 2590688 2783008 3304822 3886032 4174512 4957233 6609644 7772064 8349024 9914466 13219288 19828932 26438576 39657864 52877152 79315728 158631456 370574909 741149818 1111724727 1482299636 2223449454 2964599272 4446898908 5929198544 7040923271 8893797816 11858397088 14081846542 17787595632 21122769813 28163693084 35575191264 42245539626 56327386168 84491079252 112654772336 168982158504 225309544672 337964317008 675928634016