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81138791473272 = 23331384431342239
BaseRepresentation
bin10010011100101110011000…
…110101111110000001111000
3101122021210101212220210212000
4102130232120311332001320
541113334221104121042
6444322351330021000
723043040614665211
oct2234563065760170
9348253355823760
1081138791473272
112394284a559155
1291252a9117760
133637480501470
1416071d1d1a408
1595a915c4e74c
hex49cb98d7e078

81138791473272 has 128 divisors (see below), whose sum is σ = 242726464512000. Its totient is φ = 24965413349760.

The previous prime is 81138791473253. The next prime is 81138791473273. The reversal of 81138791473272 is 27237419783118.

81138791473272 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 8 + 7 + 91 + 473 + 2 + 72 = 666.

81138791473272 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81138791473273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236911129 + ... + 237253367.

It is an arithmetic number, because the mean of its divisors is an integer number (1896300504000).

Almost surely, 281138791473272 is an apocalyptic number.

It is an amenable number.

81138791473272 is an abundant number, since it is smaller than the sum of its proper divisors (161587673038728).

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

81138791473272 is a wasteful number, since it uses less digits than its factorization.

81138791473272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426698 (or 426688 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 63.

The spelling of 81138791473272 in words is "eighty-one trillion, one hundred thirty-eight billion, seven hundred ninety-one million, four hundred seventy-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 84431 168862 253293 337724 342239 506586 675448 684478 759879 1013172 1026717 1097603 1368956 1519758 2026344 2053434 2195206 2279637 2737912 3039516 3080151 3292809 4106868 4390412 4449107 4559274 6079032 6160302 6585618 8213736 8780824 8898214 9118548 9240453 9878427 12320604 13171236 13347321 17796428 18237096 18480906 19756854 24641208 26342472 26694642 29635281 35592856 36961812 39513708 40041963 53389284 59270562 73923624 79027416 80083926 106778568 118541124 120125889 160167852 237082248 240251778 320335704 480503556 961007112 28895581009 57791162018 86686743027 115582324036 173373486054 231164648072 260060229081 346746972108 375642553117 520120458162 693493944216 751285106234 780180687243 1040240916324 1126927659351 1502570212468 1560361374486 2080481832648 2253855318702 3005140424936 3120722748972 3380782978053 4507710637404 6241445497944 6761565956106 9015421274808 10142348934159 13523131912212 20284697868318 27046263824424 40569395736636 81138791473272