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95793345025 = 52723722392
BaseRepresentation
bin101100100110110111…
…0100111001000000001
3100011021000002010110121
41121031232213020001
53032141044020100
6112001251500241
76630563666200
oct1311556471001
9304230063417
1095793345025
1137697933a44
1216694bb7681
1390581438a1
1448ca4b5237
152759c9351a
hex164dba7201

95793345025 has 81 divisors (see below), whose sum is σ = 142609140009. Its totient is φ = 63644132160.

The previous prime is 95793345017. The next prime is 95793345041. The reversal of 95793345025 is 52054339759.

The square root of 95793345025 is 309505.

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

It can be written as a sum of positive squares in 4 ways, for example, as 9093720321 + 86699624704 = 95361^2 + 294448^2 .

It is not a de Polignac number, because 95793345025 - 23 = 95793345017 is a prime.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 400808856 + ... + 400809094.

Almost surely, 295793345025 is an apocalyptic number.

95793345025 is the 309505-th square number.

95793345025 is the 154753-rd centered octagonal number.

It is an amenable number.

95793345025 is a deficient number, since it is larger than the sum of its proper divisors (46815794984).

95793345025 is an equidigital number, since it uses as much as digits as its factorization.

95793345025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 52.

The spelling of 95793345025 in words is "ninety-five billion, seven hundred ninety-three million, three hundred forty-five thousand, twenty-five".

Divisors: 1 5 7 25 35 37 49 175 185 239 245 259 925 1195 1225 1295 1369 1673 1813 5975 6475 6845 8365 8843 9065 9583 11711 34225 41825 44215 45325 47915 57121 58555 61901 67081 221075 239575 285605 292775 309505 327191 335405 399847 433307 1428025 1547525 1635955 1677025 1999235 2113477 2166535 2290337 2798929 8179775 9996175 10567385 10832675 11451685 13994645 14794339 16032359 52836925 57258425 69973225 73971695 78198649 80161795 103560373 369858475 390993245 400808975 517801865 547390543 1954966225 2589009325 2736952715 3831733801 13684763575 19158669005 95793345025