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642026106216 = 2332114311880833
BaseRepresentation
bin10010101011110111011…
…11001110110101101000
32021101011220101110012200
421111323233032311220
541004332140344331
61210535343340200
764246001601015
oct11257357166550
92241156343180
10642026106216
11228310aaa190
12a45192b1660
13487096c7991
142310798470c
1511a796725e6
hex957bbced68

642026106216 has 96 divisors (see below), whose sum is σ = 1901297473920. Its totient is φ = 194101862400.

The previous prime is 642026106203. The next prime is 642026106263. The reversal of 642026106216 is 612601620246.

642026106216 is a `hidden beast` number, since 6 + 4 + 2 + 0 + 26 + 1 + 0 + 621 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 599065 + ... + 1281768.

It is an arithmetic number, because the mean of its divisors is an integer number (19805182020).

Almost surely, 2642026106216 is an apocalyptic number.

642026106216 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

642026106216 is an abundant number, since it is smaller than the sum of its proper divisors (1259271367704).

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

642026106216 is a wasteful number, since it uses less digits than its factorization.

642026106216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881287 (or 1881280 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 642026106216 in words is "six hundred forty-two billion, twenty-six million, one hundred six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 431 792 862 1293 1724 2586 3448 3879 4741 5172 7758 9482 10344 14223 15516 18964 28446 31032 37928 42669 56892 85338 113784 170676 341352 1880833 3761666 5642499 7523332 11284998 15046664 16927497 20689163 22569996 33854994 41378326 45139992 62067489 67709988 82756652 124134978 135419976 165513304 186202467 248269956 372404934 496539912 744809868 810639023 1489619736 1621278046 2431917069 3242556092 4863834138 6485112184 7295751207 8917029253 9727668276 14591502414 17834058506 19455336552 26751087759 29183004828 35668117012 53502175518 58366009656 71336234024 80253263277 107004351036 160506526554 214008702072 321013053108 642026106216