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420656836320 = 25325753799967
BaseRepresentation
bin1100001111100010001…
…10011110111011100000
31111012210022001101021200
412013301012132323200
523343001122230240
6521125211521200
742251161053420
oct6076106367340
91435708041250
10420656836320
111524438aa256
1269639159200
133088b121806
14165077c8480
15ae2015c930
hex61f119eee0

420656836320 has 576 divisors, whose sum is σ = 1692843909120. Its totient is φ = 93132509184.

The previous prime is 420656836309. The next prime is 420656836331. The reversal of 420656836320 is 23638656024.

It is a happy number.

420656836320 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 5 + 6 + 8 + 3 + 632 + 0 = 666.

420656836320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (420656836309) and next prime (420656836331).

It is a super-2 number, since 2×4206568363202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42199977 + ... + 42209943.

It is an arithmetic number, because the mean of its divisors is an integer number (2938965120).

Almost surely, 2420656836320 is an apocalyptic number.

420656836320 is a gapful number since it is divisible by the number (40) 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 420656836320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846421954560).

420656836320 is an abundant number, since it is smaller than the sum of its proper divisors (1272187072800).

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

420656836320 is a wasteful number, since it uses less digits than its factorization.

420656836320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10127 (or 10116 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 420656836320 in words is "four hundred twenty billion, six hundred fifty-six million, eight hundred thirty-six thousand, three hundred twenty".