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9972019375 = 541719471051
BaseRepresentation
bin10010100100110000…
…01111000010101111
3221201222010001220221
421102120033002233
5130410314110000
64325302552211
7502054523533
oct112230170257
927658101827
109972019375
114257a4382a
121b23738667
13c2bc716a6
146a855bbc3
153d56d261a
hex25260f0af

9972019375 has 80 divisors (see below), whose sum is σ = 14197455360. Its totient is φ = 6955200000.

The previous prime is 9972019363. The next prime is 9972019391. The reversal of 9972019375 is 5739102799.

It is not a de Polignac number, because 9972019375 - 27 = 9972019247 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9487600 + ... + 9488650.

It is an arithmetic number, because the mean of its divisors is an integer number (177468192).

Almost surely, 29972019375 is an apocalyptic number.

9972019375 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

9972019375 is a deficient number, since it is larger than the sum of its proper divisors (4225435985).

9972019375 is a wasteful number, since it uses less digits than its factorization.

9972019375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 52.

The square root of 9972019375 is about 99859.9988734228. The cubic root of 9972019375 is about 2152.4233986525.

The spelling of 9972019375 in words is "nine billion, nine hundred seventy-two million, nineteen thousand, three hundred seventy-five".

Divisors: 1 5 17 19 25 47 85 95 125 235 323 425 475 625 799 893 1051 1175 1615 2125 2375 3995 4465 5255 5875 8075 10625 11875 15181 17867 19969 19975 22325 26275 29375 40375 49397 75905 89335 99845 99875 111625 131375 201875 246985 339473 379525 446675 499225 499375 558125 656875 839749 938543 1234925 1697365 1897625 2233375 2496125 4198745 4692715 6174625 8486825 9488125 11166875 12480625 15955231 20993725 23463575 30873125 42434125 79776155 104968625 117317875 212170625 398880775 524843125 586589375 1994403875 9972019375