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97979182431 = 3135951478273
BaseRepresentation
bin101101101000000000…
…0111010110101011111
3100100220100010011200120
41123100000322311133
53101130132314211
6113002213530023
710036005211044
oct1332000726537
9310810104616
1097979182431
113860976aa39
1216ba5043913
139315c56ac0
144a569071cb
152836b13d06
hex16d003ad5f

97979182431 has 32 divisors (see below), whose sum is σ = 143117694720. Its totient is φ = 59254255104.

The previous prime is 97979182429. The next prime is 97979182447. The reversal of 97979182431 is 13428197979.

It is not a de Polignac number, because 97979182431 - 21 = 97979182429 is a prime.

It is a super-2 number, since 2×979791824312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97979182331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11839111 + ... + 11847383.

It is an arithmetic number, because the mean of its divisors is an integer number (4472427960).

Almost surely, 297979182431 is an apocalyptic number.

97979182431 is a deficient number, since it is larger than the sum of its proper divisors (45138512289).

97979182431 is a wasteful number, since it uses less digits than its factorization.

97979182431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13495.

The product of its digits is 6858432, while the sum is 60.

The spelling of 97979182431 in words is "ninety-seven billion, nine hundred seventy-nine million, one hundred eighty-two thousand, four hundred thirty-one".

Divisors: 1 3 13 39 59 177 767 2301 5147 8273 15441 24819 66911 107549 200733 303673 322647 488107 911019 1464321 3947749 6345391 11843247 19036173 42581131 127743393 553554703 1660664109 2512286729 7536860187 32659727477 97979182431