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25314104000 = 265331103991
BaseRepresentation
bin10111100100110101…
…101001001011000000
32102100011221201111102
4113210311221023000
5403320402312000
615343521033532
71554210222323
oct274465511300
972304851442
1025314104000
11a810174009
124aa57858a8
132505631b83
141321d8c7ba
159d256a3d5
hex5e4d692c0

25314104000 has 224 divisors, whose sum is σ = 65406861312. Its totient is φ = 9694080000.

The previous prime is 25314103957. The next prime is 25314104033. The reversal of 25314104000 is 40141352.

It is a super-2 number, since 2×253141040002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25543505 + ... + 25544495.

Almost surely, 225314104000 is an apocalyptic number.

25314104000 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 25314104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32703430656).

25314104000 is an abundant number, since it is smaller than the sum of its proper divisors (40092757312).

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

25314104000 is a wasteful number, since it uses less digits than its factorization.

25314104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 25314104000 its reverse (40141352), we get a palindrome (25354245352).

The spelling of 25314104000 in words is "twenty-five billion, three hundred fourteen million, one hundred four thousand".