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138925137840 = 24351967736229
BaseRepresentation
bin1000000101100010010…
…1010101111110110000
3111021120221011020001120
42001120211111332300
54234004313402330
6143453223502240
713015460121246
oct2013045257660
9437527136046
10138925137840
1153a10689305
1222b118b7980
131013cca3198
146a1c994796
1539316a3c10
hex2058955fb0

138925137840 has 320 divisors, whose sum is σ = 466478476800. Its totient is φ = 34093965312.

The previous prime is 138925137839. The next prime is 138925137889. The reversal of 138925137840 is 48731529831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22299846 + ... + 22306074.

It is an arithmetic number, because the mean of its divisors is an integer number (1457745240).

Almost surely, 2138925137840 is an apocalyptic number.

138925137840 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 138925137840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233239238400).

138925137840 is an abundant number, since it is smaller than the sum of its proper divisors (327553338960).

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

138925137840 is a wasteful number, since it uses less digits than its factorization.

138925137840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 138925137840 in words is "one hundred thirty-eight billion, nine hundred twenty-five million, one hundred thirty-seven thousand, eight hundred forty".