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100690078489 = 721121323172
BaseRepresentation
bin101110111000110011…
…0001010101100011001
3100121220021010221222021
41131301212022230121
53122203130002424
6114131213454441
710163123355100
oct1356146125431
9317807127867
10100690078489
113977aa19300
1217620aa1421
139658786c00
144c32975037
152944aec4e4
hex177198ab19

100690078489 has 81 divisors (see below), whose sum is σ = 139851869661. Its totient is φ = 72195963840.

The previous prime is 100690078487. The next prime is 100690078547. The reversal of 100690078489 is 984870096001.

It is a happy number.

The square root of 100690078489 is 317317.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65391184089 + 35298894400 = 255717^2 + 187880^2 .

It is not a de Polignac number, because 100690078489 - 21 = 100690078487 is a prime.

It is a super-2 number, since 2×1006900784892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100690078483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 317634159 + ... + 317634475.

Almost surely, 2100690078489 is an apocalyptic number.

100690078489 is the 317317-th square number.

100690078489 is the 158659-th centered octagonal number.

It is an amenable number.

100690078489 is a deficient number, since it is larger than the sum of its proper divisors (39161791172).

100690078489 is an equidigital number, since it uses as much as digits as its factorization.

100690078489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 100690078489 in words is "one hundred billion, six hundred ninety million, seventy-eight thousand, four hundred eighty-nine".

Divisors: 1 7 11 13 49 77 91 121 143 169 317 539 637 847 1001 1183 1573 1859 2219 3487 4121 5929 7007 8281 11011 13013 15533 20449 24409 28847 38357 45331 53573 77077 91091 100489 143143 170863 201929 268499 317317 375011 498641 589303 703423 1002001 1105379 1306357 1879493 2221219 2625077 3490487 4125121 4923961 6482333 7737653 9144499 12159169 14369927 16982641 24433409 28875847 45376331 54163571 64011493 85114183 100589489 118878487 158069197 186809051 317634317 595799281 704126423 832149409 1106484379 1307663357 2054899561 7745390653 9153643499 14384296927 100690078489