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25923576064 = 282923472
BaseRepresentation
bin11000001001001010…
…100110000100000000
32110220122210002222211
4120021022212010000
5411042413413224
615524212111504
71605260521651
oct301112460400
973818702884
1025923576064
11aaa3201431
125035905594
1325a1995c29
14137ccbd528
15a1ad09894
hex6092a6100

25923576064 has 81 divisors (see below), whose sum is σ = 53746646317. Its totient is φ = 12478764032.

The previous prime is 25923576047. The next prime is 25923576101. The reversal of 25923576064 is 46067532952.

The square root of 25923576064 is 161008.

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., 13593694464 + 12329881600 = 116592^2 + 111040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 25923575999 and 25923576017.

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, 74707539 + ... + 74707885.

Almost surely, 225923576064 is an apocalyptic number.

25923576064 is the 161008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25923576064

25923576064 is an abundant number, since it is smaller than the sum of its proper divisors (27823070253).

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

25923576064 is an frugal number, since it uses more digits than its factorization.

25923576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 49.

Multiplying 25923576064 by its sum of digits (49), we get a square (1270255227136 = 11270562).

The spelling of 25923576064 in words is "twenty-five billion, nine hundred twenty-three million, five hundred seventy-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 347 464 694 841 928 1388 1682 1856 2776 3364 3712 5552 6728 7424 10063 11104 13456 20126 22208 26912 40252 44416 53824 80504 88832 107648 120409 161008 215296 240818 291827 322016 481636 583654 644032 963272 1167308 1288064 1926544 2334616 2576128 3491861 3853088 4669232 6983722 7706176 9338464 13967444 15412352 18676928 27934888 30824704 37353856 55869776 74707712 101263969 111739552 202527938 223479104 405055876 446958208 810111752 893916416 1620223504 3240447008 6480894016 12961788032 25923576064