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125356553064 = 23324179753281
BaseRepresentation
bin111010010111111010…
…1010011001101101000
3102222120022110200220200
41310233311103031220
54023212234144224
6133331001552200
712025311056121
oct1645765231550
9388508420820
10125356553064
1149188562786
12203657a5660
13ba89b84ab2
1460d28dd048
1533da38c5c9
hex1d2fd53368

125356553064 has 96 divisors (see below), whose sum is σ = 348230904840. Its totient is φ = 40714444800.

The previous prime is 125356553059. The next prime is 125356553093. The reversal of 125356553064 is 460355653521.

125356553064 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 56 + 5 + 530 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 77985030564 + 47371522500 = 279258^2 + 217650^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2326104 + ... + 2379384.

Almost surely, 2125356553064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125356553064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174115452420).

125356553064 is an abundant number, since it is smaller than the sum of its proper divisors (222874351776).

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

125356553064 is a wasteful number, since it uses less digits than its factorization.

125356553064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54131 (or 54124 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 125356553064 in words is "one hundred twenty-five billion, three hundred fifty-six million, five hundred fifty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 797 984 1476 1594 2391 2952 3188 4782 6376 7173 9564 14346 19128 28692 32677 53281 57384 65354 98031 106562 130708 159843 196062 213124 261416 294093 319686 392124 426248 479529 588186 639372 784248 959058 1176372 1278744 1918116 2184521 2352744 3836232 4369042 6553563 8738084 13107126 17476168 19660689 26214252 39321378 42464957 52428504 78642756 84929914 127394871 157285512 169859828 254789742 339719656 382184613 509579484 764369226 1019158968 1528738452 1741063237 3057476904 3482126474 5223189711 6964252948 10446379422 13928505896 15669569133 20892758844 31339138266 41785517688 62678276532 125356553064