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99785704591776 = 253717611916131223
BaseRepresentation
bin10110101100000100101011…
…011110011101000110100000
3111002022102100022200212022110
4112230010223132131012200
5101034342110333414101
6552120530404235320
730006164532213240
oct2654045336350640
9432272308625273
1099785704591776
112988197491a215
12b23717a69bb40
13438a9a0267148
141a8d92231bb20
15b809c6313cd6
hex5ac12b79d1a0

99785704591776 has 768 divisors, whose sum is σ = 324642773532672. Its totient is φ = 26190795571200.

The previous prime is 99785704591763. The next prime is 99785704591813. The reversal of 99785704591776 is 67719540758799.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81590927101 + ... + 81590928323.

It is an arithmetic number, because the mean of its divisors is an integer number (422711944704).

Almost surely, 299785704591776 is an apocalyptic number.

99785704591776 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99785704591776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162321386766336).

99785704591776 is an abundant number, since it is smaller than the sum of its proper divisors (224857068940896).

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

99785704591776 is a wasteful number, since it uses less digits than its factorization.

99785704591776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 8401579200, while the sum is 84.

The spelling of 99785704591776 in words is "ninety-nine trillion, seven hundred eighty-five billion, seven hundred four million, five hundred ninety-one thousand, seven hundred seventy-six".