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86712242736 = 24373761114343
BaseRepresentation
bin101000011000001110…
…0111101001000110000
322021211010101100000210
41100300130331020300
52410041313231421
6103500212144120
76156544621260
oct1206034751060
9267733340023
1086712242736
1133857889429
121497b908040
13823b938592
1442a83cb7a0
1523c78e6576
hex143073d230

86712242736 has 160 divisors (see below), whose sum is σ = 267239308288. Its totient is φ = 23709957120.

The previous prime is 86712242681. The next prime is 86712242779. The reversal of 86712242736 is 63724221768.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701181 + ... + 815523.

Almost surely, 286712242736 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 86712242736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133619654144).

86712242736 is an abundant number, since it is smaller than the sum of its proper divisors (180527065552).

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

86712242736 is a wasteful number, since it uses less digits than its factorization.

86712242736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114459 (or 114453 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The spelling of 86712242736 in words is "eighty-six billion, seven hundred twelve million, two hundred forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 61 74 84 111 112 122 148 168 183 222 244 259 296 336 366 427 444 488 518 592 732 777 854 888 976 1036 1281 1464 1554 1708 1776 2072 2257 2562 2928 3108 3416 4144 4514 5124 6216 6771 6832 9028 10248 12432 13542 15799 18056 20496 27084 31598 36112 47397 54168 63196 94794 108336 114343 126392 189588 228686 252784 343029 379176 457372 686058 758352 800401 914744 1372116 1600802 1829488 2401203 2744232 3201604 4230691 4802406 5488464 6403208 6974923 8461382 9604812 12692073 12806416 13949846 16922764 19209624 20924769 25384146 27899692 29614837 33845528 38419248 41849538 48824461 50768292 55799384 59229674 67691056 83699076 88844511 97648922 101536584 111598768 118459348 146473383 167398152 177689022 195297844 203073168 236918696 258072151 292946766 334796304 355378044 390595688 473837392 516144302 585893532 710756088 774216453 781191376 1032288604 1171787064 1421512176 1548432906 1806505057 2064577208 2343574128 3096865812 3613010114 4129154416 5419515171 6193731624 7226020228 10839030342 12387463248 14452040456 21678060684 28904080912 43356121368 86712242736