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76683835152 = 2432532526633
BaseRepresentation
bin100011101101010110…
…1100111011100010000
321022221020011110000200
41013122231213130100
52224022030211102
655121132415200
75353203562341
oct1073255473420
9238836143020
1076683835152
112a581031381
1212a41317500
1373010b2bb2
1439d65920c8
151edc2c651c
hex11dab67710

76683835152 has 30 divisors (see below), whose sum is σ = 214608233502. Its totient is φ = 25561278336.

The previous prime is 76683835139. The next prime is 76683835153. The reversal of 76683835152 is 25153838667.

It can be written as a sum of positive squares in only one way, i.e., 63764330256 + 12919504896 = 252516^2 + 113664^2 .

It is a super-2 number, since 2×766838351522 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76683835153) by changing a digit.

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, 266263173 + ... + 266263460.

Almost surely, 276683835152 is an apocalyptic number.

76683835152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

76683835152 is an abundant number, since it is smaller than the sum of its proper divisors (137924398350).

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

76683835152 is a wasteful number, since it uses less digits than its factorization.

76683835152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532526647 (or 532526638 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 76683835152 in words is "seventy-six billion, six hundred eighty-three million, eight hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 532526633 1065053266 1597579899 2130106532 3195159798 4260213064 4792739697 6390319596 8520426128 9585479394 12780639192 19170958788 25561278384 38341917576 76683835152