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80362061856 = 25323119745691
BaseRepresentation
bin100101011010111110…
…0111100000000100000
321200102120101201111100
41022311330330000200
52304040141434411
6100530125514400
75543306153346
oct1126574740040
9250376351440
1080362061856
113109931a55a
12136a9112a00
1377691521bb
143c64ca5996
15215518b456
hex12b5f3c020

80362061856 has 144 divisors (see below), whose sum is σ = 237104195328. Its totient is φ = 25791091200.

The previous prime is 80362061833. The next prime is 80362061861. The reversal of 80362061856 is 65816026308.

80362061856 is a `hidden beast` number, since 8 + 0 + 3 + 6 + 20 + 618 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735971 + ... + 1781661.

It is an arithmetic number, because the mean of its divisors is an integer number (1646556912).

Almost surely, 280362061856 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 80362061856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118552097664).

80362061856 is an abundant number, since it is smaller than the sum of its proper divisors (156742133472).

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

80362061856 is a wasteful number, since it uses less digits than its factorization.

80362061856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45935 (or 45924 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 80362061856 in words is "eighty billion, three hundred sixty-two million, sixty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 197 248 279 288 372 394 496 558 591 744 788 992 1116 1182 1488 1576 1773 2232 2364 2976 3152 3546 4464 4728 6107 6304 7092 8928 9456 12214 14184 18321 18912 24428 28368 36642 45691 48856 54963 56736 73284 91382 97712 109926 137073 146568 182764 195424 219852 274146 293136 365528 411219 439704 548292 586272 731056 822438 879408 1096584 1416421 1462112 1644876 1758816 2193168 2832842 3289752 4249263 4386336 5665684 6579504 8498526 9001127 11331368 12747789 13159008 16997052 18002254 22662736 25495578 27003381 33994104 36004508 45325472 50991156 54006762 67988208 72009016 81010143 101982312 108013524 135976416 144018032 162020286 203964624 216027048 279034937 288036064 324040572 407929248 432054096 558069874 648081144 837104811 864108192 1116139748 1296162288 1674209622 2232279496 2511314433 2592324576 3348419244 4464558992 5022628866 6696838488 8929117984 10045257732 13393676976 20090515464 26787353952 40181030928 80362061856