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645506672993 = 71331973596571
BaseRepresentation
bin10010110010010110011…
…00100010100101100001
32021201011110200120020022
421121023030202211201
541033444202013433
61212313000123225
764431154122020
oct11311314424541
92251143616208
10645506672993
11229837763556
12a512aa66515
1348b4281bb50
1423357d248b7
1511bceee1698
hex964b322961

645506672993 has 64 divisors (see below), whose sum is σ = 830986813440. Its totient is φ = 487723161600.

The previous prime is 645506672927. The next prime is 645506673011. The reversal of 645506672993 is 399276605546.

It is a cyclic number.

It is not a de Polignac number, because 645506672993 - 212 = 645506668897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (645506674993) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 98232398 + ... + 98238968.

It is an arithmetic number, because the mean of its divisors is an integer number (12984168960).

Almost surely, 2645506672993 is an apocalyptic number.

It is an amenable number.

645506672993 is a deficient number, since it is larger than the sum of its proper divisors (185480140447).

645506672993 is a wasteful number, since it uses less digits than its factorization.

645506672993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078.

The product of its (nonzero) digits is 73483200, while the sum is 62.

The spelling of 645506672993 in words is "six hundred forty-five billion, five hundred six million, six hundred seventy-two thousand, nine hundred ninety-three".

Divisors: 1 7 13 31 91 97 217 359 403 679 1261 2513 2821 3007 4667 6571 8827 11129 21049 32669 34823 39091 45997 77903 85423 144677 203701 243761 273637 452699 597961 637387 1012739 1079513 1425907 2358989 2648113 3168893 4461709 7556591 8286031 14033669 16512923 18536791 19758997 30666857 58002217 73128659 98235683 138312979 214667999 228821933 256866961 511900613 950672567 1601753531 1798068727 2974685129 6654707969 7093479923 20822795903 49654359461 92215238999 645506672993