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80821432008 = 233231223716187
BaseRepresentation
bin100101101000101010…
…1010010111011001000
321201121120210010212200
41023101111102323020
52311010241311013
6101043455440200
75560554560052
oct1132125227310
9251546703780
1080821432008
1131304656109
12137b6b26060
13781037cb65
143ca9cc28d2
15218067ae73
hex12d1552ec8

80821432008 has 96 divisors (see below), whose sum is σ = 226067362560. Its totient is φ = 26058165120.

The previous prime is 80821432007. The next prime is 80821432009. The reversal of 80821432008 is 80023412808.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80821432007) and next prime (80821432009).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (80821432007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4984891 + ... + 5001077.

It is an arithmetic number, because the mean of its divisors is an integer number (2354868360).

Almost surely, 280821432008 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 80821432008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113033681280).

80821432008 is an abundant number, since it is smaller than the sum of its proper divisors (145245930552).

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

80821432008 is a wasteful number, since it uses less digits than its factorization.

80821432008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18467 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 80821432008 in words is "eighty billion, eight hundred twenty-one million, four hundred thirty-two thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 2237 4474 6711 8948 13422 16187 17896 20133 26844 32374 40266 48561 53688 64748 69347 80532 97122 129496 138694 145683 161064 194244 208041 277388 291366 388488 416082 501797 554776 582732 624123 832164 1003594 1165464 1248246 1505391 1664328 2007188 2496492 3010782 4014376 4516173 4992984 6021564 9032346 12043128 18064692 36129384 36210319 72420638 108630957 144841276 217261914 289682552 325892871 434523828 651785742 869047656 1122519889 1303571484 2245039778 2607142968 3367559667 4490079556 6735119334 8980159112 10102679001 13470238668 20205358002 26940477336 40410716004 80821432008