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38540654136 = 2332535286863
BaseRepresentation
bin100011111001001100…
…111011011000111000
310200110222001002022200
4203321030323120320
51112412401413021
625412203550200
72533034104065
oct437114733070
9120428032280
1038540654136
1115388215986
12757722b360
1338329257ba
141c1884bc6c
15100881d126
hex8f933b638

38540654136 has 24 divisors (see below), whose sum is σ = 104380938480. Its totient is φ = 12846884688.

The previous prime is 38540654111. The next prime is 38540654149. The reversal of 38540654136 is 63145604583.

38540654136 is a `hidden beast` number, since 3 + 8 + 540 + 65 + 41 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 38540654091 and 38540654100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 267643360 + ... + 267643503.

It is an arithmetic number, because the mean of its divisors is an integer number (4349205770).

Almost surely, 238540654136 is an apocalyptic number.

38540654136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38540654136 is an abundant number, since it is smaller than the sum of its proper divisors (65840284344).

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

38540654136 is a wasteful number, since it uses less digits than its factorization.

38540654136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535286875 (or 535286868 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 38540654136 in words is "thirty-eight billion, five hundred forty million, six hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 535286863 1070573726 1605860589 2141147452 3211721178 4282294904 4817581767 6423442356 9635163534 12846884712 19270327068 38540654136