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94925464420900 = 2252179254432
BaseRepresentation
bin10101100101010110001110…
…100101100100001000100100
3110110002210012211100200010211
4111211112032211210020210
544420224322342432100
6533520053434025204
725665065333333551
oct2545261645441044
9413083184320124
1094925464420900
1128278732a66973
12a791235b78204
1340c7582084329
1419625ba325a28
15ae93686c21ba
hex56558e964224

94925464420900 has 81 divisors (see below), whose sum is σ = 207183523293201. Its totient is φ = 37751124830880.

The previous prime is 94925464420823. The next prime is 94925464420949. The reversal of 94925464420900 is 902446452949.

It is a happy number.

The square root of 94925464420900 is 9742970.

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., 34173167191524 + 60752297229376 = 5845782^2 + 7794376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17439913579 + ... + 17439919021.

Almost surely, 294925464420900 is an apocalyptic number.

94925464420900 is the 9742970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94925464420900

94925464420900 is an abundant number, since it is smaller than the sum of its proper divisors (112258058872301).

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

94925464420900 is an frugal number, since it uses more digits than its factorization.

94925464420900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11258 (or 5629 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 94925464420900 in words is "ninety-four trillion, nine hundred twenty-five billion, four hundred sixty-four million, four hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1790 3580 4475 5443 8950 10886 17900 21772 27215 32041 54430 64082 108860 128164 136075 160205 272150 320410 544300 640820 801025 974297 1602050 1948594 3204100 3897188 4871485 9742970 19485940 24357425 29626249 48714850 59252498 97429700 118504996 148131245 174399163 296262490 348798326 592524980 697596652 740656225 871995815 1481312450 1743991630 2962624900 3487983260 4359979075 5303098571 8719958150 10606197142 17439916300 21212394284 26515492855 53030985710 106061971420 132577464275 265154928550 530309857100 949254644209 1898509288418 3797018576836 4746273221045 9492546442090 18985092884180 23731366105225 47462732210450 94925464420900