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99970424761 = 2325922332
BaseRepresentation
bin101110100011010110…
…0111001111110111001
3100120001002222202122111
41131012230321332321
53114214412043021
6113531545052321
710136234406214
oct1350654717671
9316032882574
1099970424761
1139440775859
121745ba870a1
139572655bbc
144ba516277b
1529018468e1
hex1746b39fb9

99970424761 has 27 divisors (see below), whose sum is σ = 106765466479. Its totient is φ = 93599693792.

The previous prime is 99970424759. The next prime is 99970424779. The reversal of 99970424761 is 16742407999.

The square root of 99970424761 is 316181.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20301975225 + 79668449536 = 142485^2 + 282256^2 .

It is not a de Polignac number, because 99970424761 - 21 = 99970424759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 99970424696 and 99970424705.

It is not an unprimeable number, because it can be changed into a prime (99970424461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 429057501 + ... + 429057733.

Almost surely, 299970424761 is an apocalyptic number.

99970424761 is the 316181-st square number.

99970424761 is the 158091-st centered octagonal number.

It is an amenable number.

99970424761 is a deficient number, since it is larger than the sum of its proper divisors (6795041718).

99970424761 is an frugal number, since it uses more digits than its factorization.

99970424761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 58.

The spelling of 99970424761 in words is "ninety-nine billion, nine hundred seventy million, four hundred twenty-four thousand, seven hundred sixty-one".

Divisors: 1 23 59 233 529 1357 3481 5359 13747 31211 54289 80063 123257 316181 811073 1248647 1841449 3203051 7272163 18654679 28718881 73670173 188980009 429057617 1694413979 4346540207 99970424761