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1038379038720 = 21135118128621
BaseRepresentation
bin11110001110001000011…
…01101011100000000000
310200021020102100121010120
433013010031223200000
5114003100013214340
62113005202300240
7135010000125132
oct17070415534000
93607212317116
101038379038720
11370412995811
121492b3057680
1376bc35864ca
1438387625052
151c025cad4d0
hexf1c436b800

1038379038720 has 192 divisors, whose sum is σ = 3324930729120. Its totient is φ = 276656947200.

The previous prime is 1038379038677. The next prime is 1038379038737. The reversal of 1038379038720 is 278309738301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36266010 + ... + 36294630.

Almost surely, 21038379038720 is an apocalyptic number.

1038379038720 is a gapful number since it is divisible by the number (10) 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 1038379038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662465364560).

1038379038720 is an abundant number, since it is smaller than the sum of its proper divisors (2286551690400).

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

1038379038720 is a wasteful number, since it uses less digits than its factorization.

1038379038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29832 (or 29812 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 1038379038720 in words is "one trillion, thirty-eight billion, three hundred seventy-nine million, thirty-eight thousand, seven hundred twenty".