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10060610625 = 325413178093
BaseRepresentation
bin10010101111010100…
…01011110001000001
3221222010210222021100
421113222023301001
5131101004020000
64342145445013
7504211531212
oct112752136101
927863728240
1010060610625
1142a2a5273a
121b49340769
13c4441c350
146b621d409
153dd381a00
hex257a8bc41

10060610625 has 120 divisors (see below), whose sum is σ = 20708952264. Its totient is φ = 4660992000.

The previous prime is 10060610617. The next prime is 10060610639. The reversal of 10060610625 is 52601606001.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 10051466049 + 9144576 = 100257^2 + 3024^2 .

It is not a de Polignac number, because 10060610625 - 23 = 10060610617 is a prime.

It is a super-2 number, since 2×100606106252 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1239079 + ... + 1247171.

Almost surely, 210060610625 is an apocalyptic number.

10060610625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10060610625 is an abundant number, since it is smaller than the sum of its proper divisors (10648341639).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10060610625 is a wasteful number, since it uses less digits than its factorization.

10060610625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8131 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10060610625 in words is "ten billion, sixty million, six hundred ten thousand, six hundred twenty-five".

Divisors: 1 3 5 9 13 15 17 25 39 45 51 65 75 85 117 125 153 195 221 225 255 325 375 425 585 625 663 765 975 1105 1125 1275 1625 1875 1989 2125 2925 3315 3825 4875 5525 5625 6375 8093 8125 9945 10625 14625 16575 19125 24279 24375 27625 31875 40465 49725 72837 73125 82875 95625 105209 121395 137581 138125 202325 248625 315627 364185 412743 414375 526045 606975 687905 946881 1011625 1238229 1243125 1578135 1788553 1820925 2063715 2630225 3034875 3439525 4734405 5058125 5365659 6191145 7890675 8942765 9104625 10318575 13151125 15174375 16096977 17197625 23672025 26828295 30955725 39453375 44713825 45523125 51592875 65755625 80484885 85988125 118360125 134141475 154778625 197266875 223569125 257964375 402424425 591800625 670707375 773893125 1117845625 2012122125 3353536875 10060610625