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38308082196132 = 22347193125915679
BaseRepresentation
bin10001011010111010010111…
…01000011001111010100100
312000122012212010002021220000
420231131023220121322210
520010114423020234012
6213250253501541300
711032444663022130
oct1055351350317244
9160565763067800
1038308082196132
111122a40378a121
124368443274830
13184b58a423c88
1496619a3103c0
15466733c32ddc
hex22d74ba19ea4

38308082196132 has 720 divisors, whose sum is σ = 126604735488000. Its totient is φ = 9863910276480.

The previous prime is 38308082196121. The next prime is 38308082196143. The reversal of 38308082196132 is 23169128080383.

38308082196132 is a `hidden beast` number, since 3 + 8 + 3 + 0 + 8 + 0 + 8 + 2 + 19 + 613 + 2 = 666.

38308082196132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38308082196121) and next prime (38308082196143).

It is a super-2 number, since 2×383080821961322 (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2443265469 + ... + 2443281147.

It is an arithmetic number, because the mean of its divisors is an integer number (175839910400).

Almost surely, 238308082196132 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 38308082196132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63302367744000).

38308082196132 is an abundant number, since it is smaller than the sum of its proper divisors (88296653291868).

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

38308082196132 is a wasteful number, since it uses less digits than its factorization.

38308082196132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15842 (or 15800 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 38308082196132 in words is "thirty-eight trillion, three hundred eight billion, eighty-two million, one hundred ninety-six thousand, one hundred thirty-two".