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77970018564 = 22329901218749
BaseRepresentation
bin100100010011101100…
…0000001000100000100
321110020212100022222100
41020213120001010010
52234140311043224
655452520032100
75430112136244
oct1104730010404
9243225308870
1077970018564
1130081051a79
1213140002630
1374776c1079
143ab9317b24
152065187ac9
hex1227601104

77970018564 has 36 divisors (see below), whose sum is σ = 197111687500. Its totient is φ = 25987262400.

The previous prime is 77970018557. The next prime is 77970018569. The reversal of 77970018564 is 46581007977.

77970018564 is a `hidden beast` number, since 7 + 7 + 9 + 70 + 0 + 1 + 8 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64588156164 + 13381862400 = 254142^2 + 115680^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 77970018564.

It is not an unprimeable number, because it can be changed into a prime (77970018569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247062 + ... + 465810.

Almost surely, 277970018564 is an apocalyptic number.

It is an amenable number.

77970018564 is an abundant number, since it is smaller than the sum of its proper divisors (119141668936).

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

77970018564 is a wasteful number, since it uses less digits than its factorization.

77970018564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228660 (or 228655 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 77970018564 in words is "seventy-seven billion, nine hundred seventy million, eighteen thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 9901 19802 29703 39604 59406 89109 118812 178218 218749 356436 437498 656247 874996 1312494 1968741 2624988 3937482 7874964 2165833849 4331667698 6497501547 8663335396 12995003094 19492504641 25990006188 38985009282 77970018564