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83742647768 = 23131747365751
BaseRepresentation
bin100110111111101110…
…0110110010111011000
322000011011120021112222
41031333130312113120
52333001104212033
6102245411323212
76023135522063
oct1157734662730
9260134507488
1083742647768
11325735a580a
12142912b0508
137b8763b4b0
1440a5c5b8da
1522a1d5b598
hex137f7365d8

83742647768 has 32 divisors (see below), whose sum is σ = 179042542560. Its totient is φ = 36376896000.

The previous prime is 83742647767. The next prime is 83742647783. The reversal of 83742647768 is 86774624738.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 83742647768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83742647767) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 23681108 + ... + 23684643.

It is an arithmetic number, because the mean of its divisors is an integer number (5595079455).

Almost surely, 283742647768 is an apocalyptic number.

It is an amenable number.

83742647768 is an abundant number, since it is smaller than the sum of its proper divisors (95299894792).

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

83742647768 is a wasteful number, since it uses less digits than its factorization.

83742647768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47365787 (or 47365783 counting only the distinct ones).

The product of its digits is 75866112, while the sum is 62.

The spelling of 83742647768 in words is "eighty-three billion, seven hundred forty-two million, six hundred forty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1768 47365751 94731502 189463004 378926008 615754763 805217767 1231509526 1610435534 2463019052 3220871068 4926038104 6441742136 10467830971 20935661942 41871323884 83742647768