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190769045161688 = 2374773213601171
BaseRepresentation
bin101011011000000011100001…
…001010111100011011011000
3221000110100020202112211102122
4223120003201022330123120
5200001030001030133223
61513422031155120412
755116415530646220
oct5330034112743330
9830410222484378
10190769045161688
115586a774722924
121949039b2a3108
13825a59cc60b66
1435173b1a9d080
15170c519aa45c8
hexad80e12bc6d8

190769045161688 has 96 divisors (see below), whose sum is σ = 423285882140160. Its totient is φ = 78922475470080.

The previous prime is 190769045161631. The next prime is 190769045161693. The reversal of 190769045161688 is 886161540967091.

190769045161688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7225343 + ... + 20826513.

It is an arithmetic number, because the mean of its divisors is an integer number (4409227938960).

Almost surely, 2190769045161688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190769045161688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211642941070080).

190769045161688 is an abundant number, since it is smaller than the sum of its proper divisors (232516836978472).

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

190769045161688 is a wasteful number, since it uses less digits than its factorization.

190769045161688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13601377 (or 13601300 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 71.

The spelling of 190769045161688 in words is "one hundred ninety trillion, seven hundred sixty-nine billion, forty-five million, one hundred sixty-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 73 94 146 188 292 329 376 511 584 658 1022 1316 2044 2632 3431 4088 5329 6862 10658 13724 21316 24017 27448 37303 42632 48034 74606 96068 149212 192136 250463 298424 500926 1001852 1753241 2003704 3506482 7012964 13601171 14025928 27202342 54404684 95208197 108809368 190416394 380832788 639255037 761665576 992885483 1278510074 1985770966 2557020148 3971541932 4474785259 5114040296 6950198381 7943083864 8949570518 13900396762 17899141036 27800793524 35798282072 46665617701 55601587048 72480640259 93331235402 144961280518 186662470804 289922561036 326659323907 373324941608 507364481813 579845122072 653318647814 1014728963626 1306637295628 2029457927252 2613274591256 3406590092173 4058915854504 6813180184346 13626360368692 23846130645211 27252720737384 47692261290422 95384522580844 190769045161688