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85637693070 = 23753915761
BaseRepresentation
bin100111111000001100…
…1110111111010001110
322012001020102120000000
41033300121313322032
52400341222134240
6103201424545130
76121116244356
oct1176031677216
9265036376000
1085637693070
1133356277356
121471ba821a6
1380ca128a87
1442057d5b66
1523633db430
hex13f0677e8e

85637693070 has 64 divisors (see below), whose sum is σ = 231186588480. Its totient is φ = 22836712320.

The previous prime is 85637693003. The next prime is 85637693101. The reversal of 85637693070 is 7039673658.

85637693070 is a `hidden beast` number, since 8 + 563 + 7 + 6 + 9 + 3 + 0 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85637692998 and 85637693016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1936011 + ... + 1979750.

It is an arithmetic number, because the mean of its divisors is an integer number (3612290445).

Almost surely, 285637693070 is an apocalyptic number.

85637693070 is an abundant number, since it is smaller than the sum of its proper divisors (145548895410).

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

85637693070 is an equidigital number, since it uses as much as digits as its factorization.

85637693070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3915789 (or 3915771 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 85637693070 in words is "eighty-five billion, six hundred thirty-seven million, six hundred ninety-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2187 2430 3645 4374 7290 10935 21870 3915761 7831522 11747283 19578805 23494566 35241849 39157610 58736415 70483698 105725547 117472830 176209245 211451094 317176641 352418490 528627735 634353282 951529923 1057255470 1585883205 1903059846 2854589769 3171766410 4757649615 5709179538 8563769307 9515299230 14272948845 17127538614 28545897690 42818846535 85637693070