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690113906400 = 25352377771553
BaseRepresentation
bin10100000101011011111…
…11101000011011100000
32102222022020001210211010
422002231333220123200
542301323130001100
61245011200020520
7100600444263132
oct12025577503340
92388266053733
10690113906400
11246748344206
12b18b9901740
1350101251c09
142558a353052
1512e411e9750
hexa0adfe86e0

690113906400 has 144 divisors (see below), whose sum is σ = 2307032434224. Its totient is φ = 179056558080.

The previous prime is 690113906387. The next prime is 690113906411. The reversal of 690113906400 is 4609311096.

690113906400 is digitally balanced in base 2, 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, 3796977 + ... + 3974576.

It is an arithmetic number, because the mean of its divisors is an integer number (16021058571).

Almost surely, 2690113906400 is an apocalyptic number.

690113906400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

690113906400 is an abundant number, since it is smaller than the sum of its proper divisors (1616918527824).

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

690113906400 is a wasteful number, since it uses less digits than its factorization.

690113906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7771613 (or 7771600 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The spelling of 690113906400 in words is "six hundred ninety billion, one hundred thirteen million, nine hundred six thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1110 1184 1200 1480 1776 1850 2220 2400 2775 2960 3552 3700 4440 5550 5920 7400 8880 11100 14800 17760 22200 29600 44400 88800 7771553 15543106 23314659 31086212 38857765 46629318 62172424 77715530 93258636 116573295 124344848 155431060 186517272 194288825 233146590 248689696 287547461 310862120 373034544 388577650 466293180 575094922 582866475 621724240 746069088 777155300 862642383 932586360 1150189844 1165732950 1243448480 1437737305 1554310600 1725284766 1865172720 2300379688 2331465900 2875474610 3108621200 3450569532 3730345440 4313211915 4600759376 4662931800 5750949220 6217242400 6901139064 7188686525 8626423830 9201518752 9325863600 11501898440 13802278128 14377373050 17252847660 18651727200 21566059575 23003796880 27604556256 28754746100 34505695320 43132119150 46007593760 57509492200 69011390640 86264238300 115018984400 138022781280 172528476600 230037968800 345056953200 690113906400