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742158037344 = 25367794992927
BaseRepresentation
bin10101100110011000001…
…00001111000101100000
32121221122021021120221110
422303030010033011200
544124414424143334
61324535342223320
7104422240142253
oct12631404170540
92557567246843
10742158037344
11266824956079
12bba03284b40
1354ca664ab79
1427cc634909a
151448a26cae9
hexaccc10f160

742158037344 has 192 divisors, whose sum is σ = 2006968320000. Its totient is φ = 240044732928.

The previous prime is 742158037337. The next prime is 742158037391. The reversal of 742158037344 is 443730851247.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 742158037293 and 742158037302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253554409 + ... + 253557335.

It is an arithmetic number, because the mean of its divisors is an integer number (10452960000).

Almost surely, 2742158037344 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 742158037344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003484160000).

742158037344 is an abundant number, since it is smaller than the sum of its proper divisors (1264810282656).

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

742158037344 is a wasteful number, since it uses less digits than its factorization.

742158037344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 742158037344 in words is "seven hundred forty-two billion, one hundred fifty-eight million, thirty-seven thousand, three hundred forty-four".