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81772436088 = 23347128314051
BaseRepresentation
bin100110000101000000…
…1000101101001111000
321211001212021011020000
41030022001011221320
52314432220423323
6101322111033000
75623253144520
oct1141201055170
9254055234200
1081772436088
11317524545a2
1213a2150b760
1379323c3975
143d5a318680
1521d8dcee43
hex130a045a78

81772436088 has 160 divisors (see below), whose sum is σ = 261980991360. Its totient is φ = 23343681600.

The previous prime is 81772436077. The next prime is 81772436111. The reversal of 81772436088 is 88063427718.

It is a happy number.

81772436088 is a `hidden beast` number, since 8 + 1 + 7 + 7 + 24 + 3 + 608 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5812663 + ... + 5826713.

It is an arithmetic number, because the mean of its divisors is an integer number (1637381196).

Almost surely, 281772436088 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 81772436088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130990495680).

81772436088 is an abundant number, since it is smaller than the sum of its proper divisors (180208555272).

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

81772436088 is a wasteful number, since it uses less digits than its factorization.

81772436088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15359 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 81772436088 in words is "eighty-one billion, seven hundred seventy-two million, four hundred thirty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1283 1512 2268 2566 3849 4536 5132 7698 8981 10264 11547 14051 15396 17962 23094 26943 28102 30792 34641 35924 42153 46188 53886 56204 69282 71848 80829 84306 92376 98357 103923 107772 112408 126459 138564 161658 168612 196714 207846 215544 242487 252918 277128 295071 323316 337224 379377 393428 415692 484974 505836 590142 646632 727461 758754 786856 831384 885213 969948 1011672 1138131 1180284 1454922 1517508 1770426 1939896 2276262 2360568 2655639 2909844 3035016 3540852 4552524 5311278 5819688 7081704 7966917 9105048 10622556 15933834 18027433 21245112 31867668 36054866 54082299 63735336 72109732 108164598 126192031 144219464 162246897 216329196 252384062 324493794 378576093 432658392 486740691 504768124 648987588 757152186 973481382 1009536248 1135728279 1297975176 1460222073 1514304372 1946962764 2271456558 2920444146 3028608744 3407184837 3893925528 4542913116 5840888292 6814369674 9085826232 10221554511 11681776584 13628739348 20443109022 27257478696 40886218044 81772436088