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84013392864 = 2531575574137
BaseRepresentation
bin100111000111110010…
…1101010001111100000
322000212001000120000010
41032033211222033200
52334024412032424
6102332322324520
76032634025302
oct1161745521740
9260761016003
1084013392864
11326a2408595
1214347ab9740
137bcb7654ab
1440cdbb7972
1522ba9dc229
hex138f96a3e0

84013392864 has 48 divisors (see below), whose sum is σ = 221939878608. Its totient is φ = 27826086912.

The previous prime is 84013392839. The next prime is 84013392901. The reversal of 84013392864 is 46829331048.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×840133928642 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2771997 + ... + 2802140.

It is an arithmetic number, because the mean of its divisors is an integer number (4623747471).

Almost surely, 284013392864 is an apocalyptic number.

It is an amenable number.

84013392864 is an abundant number, since it is smaller than the sum of its proper divisors (137926485744).

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

84013392864 is a wasteful number, since it uses less digits than its factorization.

84013392864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5574307 (or 5574299 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 84013392864 in words is "eighty-four billion, thirteen million, three hundred ninety-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 5574137 11148274 16722411 22296548 33444822 44593096 66889644 89186192 133779288 178372384 267558576 535117152 875139509 1750279018 2625418527 3500558036 5250837054 7001116072 10501674108 14002232144 21003348216 28004464288 42006696432 84013392864