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86401089072 = 2434127524941
BaseRepresentation
bin101000001110111100…
…1111111111000110000
322021000102220002110000
41100131321333320300
52403422134322242
6103405255110000
76146046065604
oct1203571777060
9267012802400
1086401089072
1133708187041
12148b3672300
1381bc333a9c
144278d53504
1523aa432a4c
hex141de7fe30

86401089072 has 100 divisors (see below), whose sum is σ = 252039352576. Its totient is φ = 28573534080.

The previous prime is 86401088999. The next prime is 86401089109. The reversal of 86401089072 is 27098010468.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97879 + ... + 427062.

Almost surely, 286401089072 is an apocalyptic number.

It is an amenable number.

86401089072 is an abundant number, since it is smaller than the sum of its proper divisors (165638263504).

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

86401089072 is a wasteful number, since it uses less digits than its factorization.

86401089072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525088 (or 525073 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 86401089072 in words is "eighty-six billion, four hundred one million, eighty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 127 144 162 216 254 324 381 432 508 648 762 1016 1143 1296 1524 2032 2286 3048 3429 4572 6096 6858 9144 10287 13716 18288 20574 27432 41148 54864 82296 164592 524941 1049882 1574823 2099764 3149646 4199528 4724469 6299292 8399056 9448938 12598584 14173407 18897876 25197168 28346814 37795752 42520221 56693628 66667507 75591504 85040442 113387256 133335014 170080884 200002521 226774512 266670028 340161768 400005042 533340056 600007563 680323536 800010084 1066680112 1200015126 1600020168 1800022689 2400030252 3200040336 3600045378 4800060504 5400068067 7200090756 9600121008 10800136134 14400181512 21600272268 28800363024 43200544536 86401089072