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690559338001 = 1329726592
BaseRepresentation
bin10100000110010001000…
…10110100011000010001
32110000110021020002002211
422003020202310120101
542303231142304001
61245123311112121
7100614463344421
oct12031042643021
92400407202084
10690559338001
1124695681a5a5
12b1a02b12641
135017260c400
14255cd582481
1512e6a384351
hexa0c88b4611

690559338001 has 27 divisors (see below), whose sum is σ = 756702087921. Its totient is φ = 629910537984.

The previous prime is 690559337983. The next prime is 690559338019. The reversal of 690559338001 is 100833955096.

It is a happy number.

The square root of 690559338001 is 830999.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (690559337983) and next prime (690559338019).

It can be written as a sum of positive squares in 4 ways, for example, as 126167750401 + 564391587600 = 355201^2 + 751260^2 .

It is a de Polignac number, because none of the positive numbers 2k-690559338001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (690559338901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1047889410 + ... + 1047890068.

Almost surely, 2690559338001 is an apocalyptic number.

690559338001 is the 830999-th square number.

690559338001 is the 415500-th centered octagonal number.

It is an amenable number.

690559338001 is a deficient number, since it is larger than the sum of its proper divisors (66142749920).

690559338001 is an frugal number, since it uses more digits than its factorization.

690559338001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 49.

Multiplying 690559338001 by its sum of digits (49), we get a square (33837407562049 = 58169932).

The spelling of 690559338001 in words is "six hundred ninety billion, five hundred fifty-nine million, three hundred thirty-eight thousand, one".

Divisors: 1 13 97 169 659 1261 8567 9409 16393 63923 111371 122317 434281 830999 1590121 5645653 6200531 10802987 42125257 73393489 80606903 547628341 1047889739 4086149929 7119168433 53119949077 690559338001