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656484231420 = 2232559791734523
BaseRepresentation
bin10011000110110011000…
…00100110100011111100
32022202111111220022102100
421203121200212203330
541223434430401140
61221330143225100
765300201616363
oct11433140464374
92282444808370
10656484231420
11233460263696
12a72932a8190
1349ba1bb9954
1423ab9c327da
1512123aeb530
hex98d98268fc

656484231420 has 288 divisors, whose sum is σ = 2063030860800. Its totient is φ = 168897351168.

The previous prime is 656484231419. The next prime is 656484231427. The reversal of 656484231420 is 24132484656.

656484231420 is a `hidden beast` number, since 6 + 5 + 6 + 484 + 23 + 142 + 0 = 666.

It is a super-2 number, since 2×6564842314202 (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 not an unprimeable number, because it can be changed into a prime (656484231427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145141279 + ... + 145145801.

It is an arithmetic number, because the mean of its divisors is an integer number (7163301600).

Almost surely, 2656484231420 is an apocalyptic number.

656484231420 is a gapful number since it is divisible by the number (60) 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 656484231420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031515430400).

656484231420 is an abundant number, since it is smaller than the sum of its proper divisors (1406546629380).

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

656484231420 is a wasteful number, since it uses less digits than its factorization.

656484231420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4849 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 656484231420 in words is "six hundred fifty-six billion, four hundred eighty-four million, two hundred thirty-one thousand, four hundred twenty".