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38136597539040 = 253457211131923312
BaseRepresentation
bin10001010101111010111100…
…10110010110100011100000
312000000211020001110010010000
420222331132112112203200
514444312222432222130
6213035413330340000
711014164303340500
oct1052753626264340
9160024201403100
1038136597539040
1111173705101120
12433b16542a600
13183835ba1a390
1495bb6d409a00
15462048dbe260
hex22af5e5968e0

38136597539040 has 8640 divisors, whose sum is σ = 208762165624320. Its totient is φ = 6414789427200.

The previous prime is 38136597539039. The next prime is 38136597539057. The reversal of 38136597539040 is 4093579563183.

38136597539040 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 6 + 5 + 97 + 539 + 0 + 4 + 0 = 666.

38136597539040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1230212823825 + ... + 1230212823855.

It is an arithmetic number, because the mean of its divisors is an integer number (24162287688).

Almost surely, 238136597539040 is an apocalyptic number.

38136597539040 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 38136597539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104381082812160).

38136597539040 is an abundant number, since it is smaller than the sum of its proper divisors (170625568085280).

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

38136597539040 is a wasteful number, since it uses less digits than its factorization.

38136597539040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 38136597539040 in words is "thirty-eight trillion, one hundred thirty-six billion, five hundred ninety-seven million, five hundred thirty-nine thousand, forty".