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81391525264 = 24722324432
BaseRepresentation
bin100101111001101010…
…0000001110110010000
321210002022111212210201
41023303110001312100
52313142212302024
6101220222504544
75610646356400
oct1136324016620
9253068455721
1081391525264
1131577437665
1213935a35154
1378a150704a
143d218c2800
1521b573c744
hex12f3501d90

81391525264 has 135 divisors (see below), whose sum is σ = 192198761643. Its totient is φ = 33290152896.

The previous prime is 81391525247. The next prime is 81391525279. The reversal of 81391525264 is 46252519318.

The square root of 81391525264 is 285292.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183727827 + ... + 183728269.

Almost surely, 281391525264 is an apocalyptic number.

81391525264 is the 285292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81391525264

81391525264 is an abundant number, since it is smaller than the sum of its proper divisors (110807236379).

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

81391525264 is an equidigital number, since it uses as much as digits as its factorization.

81391525264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 475 counting only the distinct ones).

The product of its digits is 518400, while the sum is 46.

The spelling of 81391525264 in words is "eighty-one billion, three hundred ninety-one million, five hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 443 529 644 784 886 1058 1127 1288 1772 2116 2254 2576 3101 3544 3703 4232 4508 6202 7088 7406 8464 9016 10189 12404 14812 18032 20378 21707 24808 25921 29624 40756 43414 49616 51842 59248 71323 81512 86828 103684 142646 163024 173656 196249 207368 234347 285292 347312 392498 414736 468694 499261 570584 784996 937388 998522 1141168 1373743 1569992 1640429 1874776 1997044 2747486 3139984 3280858 3749552 3994088 4513727 5494972 6561716 7988176 9027454 9616201 10989944 11483003 13123432 18054908 19232402 21979888 22966006 26246864 31596089 36109816 38464804 45932012 63192178 72219632 76929608 91864024 103815721 126384356 153859216 183728048 207631442 221172623 252768712 415262884 442345246 505537424 726710047 830525768 884690492 1453420094 1661051536 1769380984 2906840188 3538761968 5086970329 5813680376 10173940658 11627360752 20347881316 40695762632 81391525264