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25491013632 = 2173474
BaseRepresentation
bin10111101111011000…
…100000000000000000
32102210111211122220000
4113233120200000000
5404201144414012
615413240520000
71561456020000
oct275730400000
972714748800
1025491013632
11a8a1015917
124b34a80000
132533193226
14133b680000
159e2d62ddc
hex5ef620000

25491013632 has 450 divisors, whose sum is σ = 88845767703. Its totient is φ = 7283146752.

The previous prime is 25491013627. The next prime is 25491013633. The reversal of 25491013632 is 23631019452.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

25491013632 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 1 + 0 + 13 + 632 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12745506816 + 12745506816 = 112896^2 + 112896^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=112896.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25491013633) by changing a digit.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 3641573373 + ... + 3641573379.

Almost surely, 225491013632 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 25491013632

25491013632 is an abundant number, since it is smaller than the sum of its proper divisors (63354754071).

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

25491013632 is an frugal number, since it uses more digits than its factorization.

25491013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 25491013632 in words is "twenty-five billion, four hundred ninety-one million, thirteen thousand, six hundred thirty-two".