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84357313416 = 23321171629353
BaseRepresentation
bin100111010010000010…
…1100111001110001000
322001202000011112022100
41032210011213032020
52340230433012131
6102430405553400
76044311222155
oct1164405471610
9261660145270
1084357313416
1132859560152
1214423115860
137c54aa048c
14412374122c
1522dacc47e6
hex13a4167388

84357313416 has 24 divisors (see below), whose sum is σ = 228467724030. Its totient is φ = 28119104448.

The previous prime is 84357313387. The next prime is 84357313421. The reversal of 84357313416 is 61431375348.

84357313416 is a `hidden beast` number, since 8 + 43 + 573 + 1 + 34 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80151272100 + 4206041316 = 283110^2 + 64854^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 585814605 + ... + 585814748.

Almost surely, 284357313416 is an apocalyptic number.

It is an amenable number.

84357313416 is an abundant number, since it is smaller than the sum of its proper divisors (144110410614).

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

84357313416 is a wasteful number, since it uses less digits than its factorization.

84357313416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171629365 (or 1171629358 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 84357313416 in words is "eighty-four billion, three hundred fifty-seven million, three hundred thirteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1171629353 2343258706 3514888059 4686517412 7029776118 9373034824 10544664177 14059552236 21089328354 28119104472 42178656708 84357313416