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42602702688 = 253272131811283
BaseRepresentation
bin100111101011010100…
…011010011101100000
311001222001111112101100
4213223110122131200
51144222242441223
631323231434400
73035506666200
oct475324323540
9131861445340
1042602702688
111708212a0a7
12830b685a00
13402c360720
1420c2114400
15119524d043
hex9eb51a760

42602702688 has 432 divisors, whose sum is σ = 152729596656. Its totient is φ = 11165091840.

The previous prime is 42602702663. The next prime is 42602702707. The reversal of 42602702688 is 88620720624.

42602702688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33204895 + ... + 33206177.

It is an arithmetic number, because the mean of its divisors is an integer number (353540733).

Almost surely, 242602702688 is an apocalyptic number.

42602702688 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 42602702688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76364798328).

42602702688 is an abundant number, since it is smaller than the sum of its proper divisors (110126893968).

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

42602702688 is a wasteful number, since it uses less digits than its factorization.

42602702688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1489 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 42602702688 in words is "forty-two billion, six hundred two million, seven hundred two thousand, six hundred eighty-eight".