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76542138906 = 2343321792221
BaseRepresentation
bin100011101001001000…
…1000101101000011010
321022120100112112022120
41013102101011220122
52223224241421111
655055111402110
75346533305632
oct1072221055032
9238510475276
1076542138906
112a509050942
1212a01983336
1372aa93076c
1439c18296c2
151eceb37406
hex11d2445a1a

76542138906 has 32 divisors (see below), whose sum is σ = 156694769088. Its totient is φ = 24912679680.

The previous prime is 76542138901. The next prime is 76542138919. The reversal of 76542138906 is 60983124567.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (76542138901) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 783876 + ... + 876096.

It is an arithmetic number, because the mean of its divisors is an integer number (4896711534).

It is a 1-persistent number, because it is pandigital, but 2⋅76542138906 = 153084277812 is not.

Almost surely, 276542138906 is an apocalyptic number.

It is a pronic number, being equal to 276662×276663.

76542138906 is an abundant number, since it is smaller than the sum of its proper divisors (80152630182).

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

76542138906 is a wasteful number, since it uses less digits than its factorization.

76542138906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95486.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 76542138906 in words is "seventy-six billion, five hundred forty-two million, one hundred thirty-eight thousand, nine hundred six".

Divisors: 1 2 3 6 43 86 129 258 3217 6434 9651 19302 92221 138331 184442 276662 276663 414993 553326 829986 3965503 7931006 11896509 23793018 296674957 593349914 890024871 1780049742 12757023151 25514046302 38271069453 76542138906