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690131238705 = 32573306168633
BaseRepresentation
bin10100000101011110000…
…01101111111100110001
32102222100102200101021100
422002233001233330301
542301342044114310
61245013015315013
7100601044511466
oct12025701577461
92388312611240
10690131238705
11246757102227
12b190367ba69
1350104a1000c
142558c78566d
1512e429beec0
hexa0af06ff31

690131238705 has 48 divisors (see below), whose sum is σ = 1213027981776. Its totient is φ = 362904053760.

The previous prime is 690131238679. The next prime is 690131238721. The reversal of 690131238705 is 507832131096.

It can be written as a sum of positive squares in 8 ways, for example, as 93597447969 + 596533790736 = 305937^2 + 772356^2 .

It is not a de Polignac number, because 690131238705 - 28 = 690131238449 is a prime.

It is a super-3 number, since 3×6901312387053 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10021069 + ... + 10089701.

It is an arithmetic number, because the mean of its divisors is an integer number (25271416287).

Almost surely, 2690131238705 is an apocalyptic number.

It is an amenable number.

690131238705 is a deficient number, since it is larger than the sum of its proper divisors (522896743071).

690131238705 is a wasteful number, since it uses less digits than its factorization.

690131238705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71778 (or 71775 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 690131238705 in words is "six hundred ninety billion, one hundred thirty-one million, two hundred thirty-eight thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3061 3285 9183 15305 27549 45915 68633 137745 205899 223453 343165 617697 670359 1029495 1117265 2011077 3088485 3351795 5010209 10055385 15030627 25051045 45091881 75153135 210085613 225459405 630256839 1050428065 1890770517 3151284195 9453852585 15336249749 46008749247 76681248745 138026247741 230043746235 690131238705