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72867548484 = 22344711234261
BaseRepresentation
bin100001111011100111…
…1101000110101000100
320222002021010222220000
41003313033220311010
52143213043022414
653250324241300
75156503641213
oct1036717506504
9228067128800
1072867548484
11289a2916755
1212157240230
136b435655c3
1437537c107a
151d6723eb09
hex10f73e8d44

72867548484 has 120 divisors (see below), whose sum is σ = 194762080128. Its totient is φ = 23745648960.

The previous prime is 72867548483. The next prime is 72867548503. The reversal of 72867548484 is 48484576827.

72867548484 is a `hidden beast` number, since 7 + 2 + 8 + 6 + 7 + 548 + 4 + 84 = 666.

It is not an unprimeable number, because it can be changed into a prime (72867548483) 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 39 ways as a sum of consecutive naturals, for example, 17098914 + ... + 17103174.

Almost surely, 272867548484 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 72867548484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97381040064).

72867548484 is an abundant number, since it is smaller than the sum of its proper divisors (121894531644).

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

72867548484 is a wasteful number, since it uses less digits than its factorization.

72867548484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5447 (or 5436 counting only the distinct ones).

The product of its digits is 96337920, while the sum is 63.

The spelling of 72867548484 in words is "seventy-two billion, eight hundred sixty-seven million, five hundred forty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1123 1269 1692 2246 2538 3369 3807 4261 4492 5076 6738 7614 8522 10107 12783 13476 15228 17044 20214 25566 30321 38349 40428 51132 52781 60642 76698 90963 105562 115047 121284 153396 158343 181926 200267 211124 230094 316686 345141 363852 400534 460188 475029 600801 633372 690282 801068 950058 1201602 1380564 1425087 1802403 1900116 2403204 2850174 3604806 4275261 4785103 5407209 5700348 7209612 8550522 9570206 10814418 14355309 16221627 17101044 19140412 21628836 28710618 32443254 43065927 57421236 64886508 86131854 129197781 172263708 224899841 258395562 387593343 449799682 516791124 674699523 775186686 899599364 1349399046 1550373372 2024098569 2698798092 4048197138 6072295707 8096394276 12144591414 18216887121 24289182828 36433774242 72867548484