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80477711532 = 2232191736411061
BaseRepresentation
bin100101011110011011…
…0000110110010101100
321200201122000100000200
41022330312012302230
52304304243232112
6100545420353500
75546212155411
oct1127466066254
9250648010020
1080477711532
113114862a8a9
121371b9a5890
1377870b4c6a
143c763ac108
1521603d2cdc
hex12bcd86cac

80477711532 has 144 divisors (see below), whose sum is σ = 215913690720. Its totient is φ = 25203916800.

The previous prime is 80477711507. The next prime is 80477711543. The reversal of 80477711532 is 23511777408.

80477711532 is a `hidden beast` number, since 8 + 0 + 47 + 7 + 71 + 1 + 532 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 75850282 + ... + 75851342.

It is an arithmetic number, because the mean of its divisors is an integer number (1499400630).

Almost surely, 280477711532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80477711532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107956845360).

80477711532 is an abundant number, since it is smaller than the sum of its proper divisors (135435979188).

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

80477711532 is a wasteful number, since it uses less digits than its factorization.

80477711532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 80477711532 in words is "eighty billion, four hundred seventy-seven million, seven hundred eleven thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 173 228 342 346 519 641 684 692 1038 1061 1282 1557 1923 2076 2122 2564 3114 3183 3287 3846 4244 5769 6228 6366 6574 7692 9549 9861 11538 12179 12732 13148 19098 19722 20159 23076 24358 29583 36537 38196 39444 40318 48716 59166 60477 73074 80636 109611 110893 118332 120954 146148 181431 183553 219222 221786 241908 332679 362862 367106 438444 443572 550659 665358 680101 725724 734212 998037 1101318 1330716 1360202 1651977 1996074 2040303 2106967 2202636 2720404 3303954 3487507 3992148 4080606 4213934 6120909 6320901 6607908 6975014 8161212 8427868 10462521 12241818 12641802 12921919 13950028 18962703 20925042 24483636 25283604 25843838 31387563 37925406 38765757 41850084 51687676 62775126 75850812 77531514 116297271 117657473 125550252 155063028 232594542 235314946 352972419 465189084 470629892 705944838 1058917257 1411889676 2117834514 2235491987 4235669028 4470983974 6706475961 8941967948 13412951922 20119427883 26825903844 40238855766 80477711532