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84008840400840 = 23352678292613883
BaseRepresentation
bin10011000110011111010101…
…000101110000111111001000
3102000110011111112022121200110
4103012133111011300333020
542002400101120311330
6454401043431034320
723460303244235025
oct2306372505607710
9360404445277613
1084008840400840
1124849a49333803
12950958680b9a0
1337b4ccc32aa64
1416a609a04254c
159aa3e1a96db0
hex4c67d5170fc8

84008840400840 has 64 divisors (see below), whose sum is σ = 252027558619200. Its totient is φ = 22402265225472.

The previous prime is 84008840400773. The next prime is 84008840400893. The reversal of 84008840400840 is 4800404880048.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 84008840400840.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30832539 + ... + 33446421.

It is an arithmetic number, because the mean of its divisors is an integer number (3937930603425).

Almost surely, 284008840400840 is an apocalyptic number.

It is an amenable number.

84008840400840 is an abundant number, since it is smaller than the sum of its proper divisors (168018718218360).

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

84008840400840 is a wasteful number, since it uses less digits than its factorization.

84008840400840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881726 (or 2881722 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 84008840400840 in words is "eighty-four trillion, eight billion, eight hundred forty million, four hundred thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 267829 535658 803487 1071316 1339145 1606974 2142632 2613883 2678290 3213948 4017435 5227766 5356580 6427896 7841649 8034870 10455532 10713160 13069415 15683298 16069740 20911064 26138830 31366596 32139480 39208245 52277660 62733192 78416490 104555320 156832980 313665960 700073670007 1400147340014 2100221010021 2800294680028 3500368350035 4200442020042 5600589360056 7000736700070 8400884040084 10501105050105 14001473400140 16801768080168 21002210100210 28002946800280 42004420200420 84008840400840