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42656144020 = 225773131151211
BaseRepresentation
bin100111101110100000…
…010001101010010100
311002002210001122002221
4213232200101222110
51144324433102040
631332421112124
73040026145630
oct475640215224
9132083048087
1042656144020
11170aa310396
128325558644
13403a452309
1420c9265dc0
151199ca774a
hex9ee811a94

42656144020 has 192 divisors, whose sum is σ = 105760714752. Its totient is φ = 14152320000.

The previous prime is 42656143979. The next prime is 42656144021. The reversal of 42656144020 is 2044165624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42656144021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202161715 + ... + 202161925.

It is an arithmetic number, because the mean of its divisors is an integer number (550837056).

Almost surely, 242656144020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42656144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52880357376).

42656144020 is an abundant number, since it is smaller than the sum of its proper divisors (63104570732).

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

42656144020 is a wasteful number, since it uses less digits than its factorization.

42656144020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 42656144020 in words is "forty-two billion, six hundred fifty-six million, one hundred forty-four thousand, twenty".