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644362640001 = 38509192949
BaseRepresentation
bin10010110000001110000…
…00011001101010000001
32021121012201222200000000
421120013000121222001
541024123313440001
61212003251350213
764360623032613
oct11300700315201
92247181880000
10644362640001
112292aaa03643
12a4a6b8b2369
13489bc7c1a52
142328a002db3
1511b6485da86
hex9607019a81

644362640001 has 36 divisors (see below), whose sum is σ = 968398684500. Its totient is φ = 428728912416.

The previous prime is 644362639997. The next prime is 644362640101. The reversal of 644362640001 is 100046263446.

644362640001 is a `hidden beast` number, since 6 + 4 + 4 + 3 + 6 + 2 + 640 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 476377420401 + 167985219600 = 690201^2 + 409860^2 .

It is not a de Polignac number, because 644362640001 - 22 = 644362639997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (644362640101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3243075 + ... + 3436023.

Almost surely, 2644362640001 is an apocalyptic number.

It is an amenable number.

644362640001 is a deficient number, since it is larger than the sum of its proper divisors (324036044499).

644362640001 is an frugal number, since it uses more digits than its factorization.

644362640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193482 (or 193461 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 644362640001 in words is "six hundred forty-four billion, three hundred sixty-two million, six hundred forty thousand, one".

Divisors: 1 3 9 27 81 243 509 729 1527 2187 4581 6561 13743 41229 123687 192949 371061 578847 1113183 1736541 3339549 5209623 15628869 46886607 98211041 140659821 294633123 421979463 883899369 1265938389 2651698107 7955094321 23865282963 71595848889 214787546667 644362640001