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38387505070080 = 2153452892577
BaseRepresentation
bin10001011101001110010011…
…00110101000000000000000
312000220210212020020022210000
420232213021212220000000
520012420102244220310
6213350550521440000
711041256106223365
oct1056471146500000
9160823766208700
1038387505070080
111126005a940921
12437b909940000
131855c06b0b78a
14969d7257846c
154688317014c0
hex22e9c99a8000

38387505070080 has 320 divisors, whose sum is σ = 137624262040980. Its totient is φ = 10236664479744.

The previous prime is 38387505070051. The next prime is 38387505070111. The reversal of 38387505070080 is 8007050578383.

38387505070080 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 7 + 50 + 507 + 0 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 36536512167936 + 1850992902144 = 6044544^2 + 1360512^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×383875050700802 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38387505069999 and 38387505070026.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11824752 + ... + 14717328.

Almost surely, 238387505070080 is an apocalyptic number.

38387505070080 is a gapful number since it is divisible by the number (30) 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 38387505070080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68812131020490).

38387505070080 is an abundant number, since it is smaller than the sum of its proper divisors (99236756970900).

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

38387505070080 is an frugal number, since it uses more digits than its factorization.

38387505070080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2892624 (or 2892587 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 38387505070080 in words is "thirty-eight trillion, three hundred eighty-seven billion, five hundred five million, seventy thousand, eighty".