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400691225088 = 293471131761
BaseRepresentation
bin1011101010010110000…
…11101110001000000000
31102022020212020020120000
411311023003232020000
523031103423200323
6504024111320000
740643334134340
oct5651303561000
91368225206500
10400691225088
11144a28829000
12657a6820000
132ba288c767b
1415571cd4d20
15a652435e43
hex5d4b0ee200

400691225088 has 1600 divisors, whose sum is σ = 1617917089536. Its totient is φ = 96347750400.

The previous prime is 400691225087. The next prime is 400691225167. The reversal of 400691225088 is 880522196004.

It is not an unprimeable number, because it can be changed into a prime (400691225087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6568708578 + ... + 6568708638.

Almost surely, 2400691225088 is an apocalyptic number.

400691225088 is a gapful number since it is divisible by the number (48) 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 400691225088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808958544768).

400691225088 is an abundant number, since it is smaller than the sum of its proper divisors (1217225864448).

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

400691225088 is an equidigital number, since it uses as much as digits as its factorization.

400691225088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 400691225088 in words is "four hundred billion, six hundred ninety-one million, two hundred twenty-five thousand, eighty-eight".