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38195097696 = 253978663
BaseRepresentation
bin100011100100100110…
…101111000001100000
310122120212211000000000
4203210212233001200
51111210421111241
625314021300000
72521336654650
oct434446570140
9118525730000
1038195097696
1115220156248
12749b564600
1337a9167032
141bc49ba360
15ed8310eb6
hex8e49af060

38195097696 has 240 divisors, whose sum is σ = 128921151744. Its totient is φ = 10911625344.

The previous prime is 38195097653. The next prime is 38195097781. The reversal of 38195097696 is 69679059183.

38195097696 is a `hidden beast` number, since 38 + 1 + 9 + 509 + 7 + 6 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4404661 + ... + 4413323.

Almost surely, 238195097696 is an apocalyptic number.

38195097696 is a gapful number since it is divisible by the number (36) 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 38195097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64460575872).

38195097696 is an abundant number, since it is smaller than the sum of its proper divisors (90726054048).

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

38195097696 is an frugal number, since it uses more digits than its factorization.

38195097696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8675 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 38195097696 in words is "thirty-eight billion, one hundred ninety-five million, ninety-seven thousand, six hundred ninety-six".