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642763328004 = 2232720991215173
BaseRepresentation
bin10010101101001111010…
…11100000101000000100
32021110002021121012101100
421112213223200220010
541012334402444004
61211140440500100
764303163066460
oct11264753405004
92243067535340
10642763328004
1122865a161896
12a46a417a630
13487c636a1a5
142317784b4a0
1511abe248739
hex95a7ae0a04

642763328004 has 72 divisors (see below), whose sum is σ = 1857758011200. Its totient is φ = 183559021632.

The previous prime is 642763327967. The next prime is 642763328029. The reversal of 642763328004 is 400823367246.

642763328004 is a `hidden beast` number, since 6 + 4 + 2 + 7 + 633 + 2 + 8 + 0 + 0 + 4 = 666.

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, 78639 + ... + 1136534.

It is an arithmetic number, because the mean of its divisors is an integer number (25802194600).

Almost surely, 2642763328004 is an apocalyptic number.

It is an amenable number.

642763328004 is an abundant number, since it is smaller than the sum of its proper divisors (1214994683196).

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

642763328004 is a wasteful number, since it uses less digits than its factorization.

642763328004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217289 (or 1217284 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 642763328004 in words is "six hundred forty-two billion, seven hundred sixty-three million, three hundred twenty-eight thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2099 4198 6297 8396 12594 14693 18891 25188 29386 37782 44079 58772 75564 88158 132237 176316 264474 528948 1215173 2430346 3645519 4860692 7291038 8506211 10936557 14582076 17012422 21873114 25518633 34024844 43746228 51037266 76555899 102074532 153111798 306223596 2550648127 5101296254 7651944381 10202592508 15303888762 17854536889 22955833143 30607777524 35709073778 45911666286 53563610667 71418147556 91823332572 107127221334 160690832001 214254442668 321381664002 642763328004