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10094622784 = 261926612
BaseRepresentation
bin10010110011010111…
…11011100001000000
3222001111210222011221
421121223323201000
5131133210412114
64345402444424
7505103610061
oct113153734100
928044728157
1010094622784
114310173564
121b58803714
13c4b49a59c
146ba954568
153e134e524
hex259afb840

10094622784 has 63 divisors (see below), whose sum is σ = 21173328621. Its totient is φ = 4774429440.

The previous prime is 10094622761. The next prime is 10094622817. The reversal of 10094622784 is 48722649001.

The square root of 10094622784 is 100472.

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., 8015262784 + 2079360000 = 89528^2 + 45600^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10094622784.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15271414 + ... + 15272074.

Almost surely, 210094622784 is an apocalyptic number.

10094622784 is the 100472-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10094622784

10094622784 is an abundant number, since it is smaller than the sum of its proper divisors (11078705837).

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

10094622784 is an frugal number, since it uses more digits than its factorization.

10094622784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1372 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 10094622784 in words is "ten billion, ninety-four million, six hundred twenty-two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 361 608 661 722 1216 1322 1444 2644 2888 5288 5776 10576 11552 12559 21152 23104 25118 42304 50236 100472 200944 238621 401888 436921 477242 803776 873842 954484 1747684 1908968 3495368 3817936 6990736 7635872 8301499 13981472 15271744 16602998 27962944 33205996 66411992 132823984 157728481 265647968 315456962 531295936 630913924 1261827848 2523655696 5047311392 10094622784