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1985471970688 = 27175317215871
BaseRepresentation
bin11100111001000111010…
…110011111110110000000
321000210211221210111100101
4130321013112133312000
5230012221311030223
64120040242532144
7263305563202333
oct34710726376600
97023757714311
101985471970688
116a6041191398
1228096a667054
131152c973841b
146c15120661a
15369a78464ad
hex1ce4759fd80

1985471970688 has 64 divisors (see below), whose sum is σ = 4267126033920. Its totient is φ = 916710645760.

The previous prime is 1985471970593. The next prime is 1985471970731. The reversal of 1985471970688 is 8860791745891.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 1985471970688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8492608 + ... + 8723263.

It is an arithmetic number, because the mean of its divisors is an integer number (66673844280).

Almost surely, 21985471970688 is an apocalyptic number.

It is an amenable number.

1985471970688 is an abundant number, since it is smaller than the sum of its proper divisors (2281654063232).

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

1985471970688 is a wasteful number, since it uses less digits than its factorization.

1985471970688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17215955 (or 17215943 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 73.

The spelling of 1985471970688 in words is "one trillion, nine hundred eighty-five billion, four hundred seventy-one million, nine hundred seventy thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 212 272 424 544 848 901 1088 1696 1802 2176 3392 3604 6784 7208 14416 28832 57664 115328 17215871 34431742 68863484 137726968 275453936 292669807 550907872 585339614 912441163 1101815744 1170679228 1824882326 2203631488 2341358456 3649764652 4682716912 7299529304 9365433824 14599058608 15511499771 18730867648 29198117216 31022999542 37461735296 58396234432 62045999084 116792468864 124091998168 248183996336 496367992672 992735985344 1985471970688