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690077130192 = 243221292250917
BaseRepresentation
bin10100000101010111100…
…11010101110111010000
32102222012122212101100100
422002223303111313100
542301234221131232
61245003403452400
7100566516552642
oct12025363256720
92388178771310
10690077130192
1124672960574a
12b18a9527100
13500c6746848
14255854dc892
1512e3cd82c7c
hexa0abcd5dd0

690077130192 has 60 divisors (see below), whose sum is σ = 1932165502020. Its totient is φ = 229917563904.

The previous prime is 690077130191. The next prime is 690077130209. The reversal of 690077130192 is 291031770096.

690077130192 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 379007684496 + 311069445696 = 615636^2 + 557736^2 .

It is a super-2 number, since 2×6900771301922 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690077130191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 818883 + ... + 1432034.

It is an arithmetic number, because the mean of its divisors is an integer number (32202758367).

Almost surely, 2690077130192 is an apocalyptic number.

It is an amenable number.

690077130192 is an abundant number, since it is smaller than the sum of its proper divisors (1242088371828).

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

690077130192 is a wasteful number, since it uses less digits than its factorization.

690077130192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253060 (or 2253051 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 690077130192 in words is "six hundred ninety billion, seventy-seven million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2129 4258 6387 8516 12774 17032 19161 25548 34064 38322 51096 76644 102192 153288 306576 2250917 4501834 6752751 9003668 13505502 18007336 20258253 27011004 36014672 40516506 54022008 81033012 108044016 162066024 324132048 4792202293 9584404586 14376606879 19168809172 28753213758 38337618344 43129820637 57506427516 76675236688 86259641274 115012855032 172519282548 230025710064 345038565096 690077130192