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97672388327679 = 31110194033116521
BaseRepresentation
bin10110001101010100100000…
…000000101011100011111111
3110210211101111200022100212010
4112031110200000223203333
5100300231022402441204
6543422024210342303
726400411556313244
oct2615244000534377
9423741450270763
1097672388327679
1129137699995aa0
12ab5569128a993
13426660b44aa39
141a195240775cb
15b45a3a026d89
hex58d52002b8ff

97672388327679 has 32 divisors (see below), whose sum is σ = 143490856059648. Its totient is φ = 58603042080000.

The previous prime is 97672388327671. The next prime is 97672388327747.

97672388327679 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 97672388327679 - 23 = 97672388327671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97672388327671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29781939 + ... + 32898459.

It is an arithmetic number, because the mean of its divisors is an integer number (4484089251864).

Almost surely, 297672388327679 is an apocalyptic number.

97672388327679 is a deficient number, since it is larger than the sum of its proper divisors (45818467731969).

97672388327679 is a wasteful number, since it uses less digits than its factorization.

97672388327679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126039.

The product of its digits is 16131032064, while the sum is 84.

The spelling of 97672388327679 in words is "ninety-seven trillion, six hundred seventy-two billion, three hundred eighty-eight million, three hundred twenty-seven thousand, six hundred seventy-nine".

Divisors: 1 3 11 33 101 303 1111 3333 9403 28209 103433 310299 949703 2849109 3116521 9349563 10446733 31340199 34281731 102845193 314768621 944305863 3462454831 10387364493 29304646963 87913940889 322351116593 967053349779 2959769343263 8879308029789 32557462775893 97672388327679