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25452503040 = 213351032011
BaseRepresentation
bin10111101101000101…
…100110000000000000
32102200211101010021210
4113231011212000000
5404111320044130
615405343250120
71560510464136
oct275505460000
972624333253
1025452503040
11a881302288
124b23ba9940
1325281cb5b3
1413364d7756
159de7a75b0
hex5ed166000

25452503040 has 224 divisors, whose sum is σ = 82274639616. Its totient is φ = 6718095360.

The previous prime is 25452503039. The next prime is 25452503053. The reversal of 25452503040 is 4030525452.

It is a super-2 number, since 2×254525030402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25452502989 and 25452503007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12655635 + ... + 12657645.

Almost surely, 225452503040 is an apocalyptic number.

25452503040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25452503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137319808).

25452503040 is an abundant number, since it is smaller than the sum of its proper divisors (56822136576).

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

25452503040 is a wasteful number, since it uses less digits than its factorization.

25452503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 25452503040 in words is "twenty-five billion, four hundred fifty-two million, five hundred three thousand, forty".