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79137003969 = 382321512
BaseRepresentation
bin100100110110011101…
…1101101100111000001
321120021012020100000000
41021230323231213001
52244033033111334
6100204404350213
75501042302122
oct1115473554701
9246235210000
1079137003969
113061a859421
12134069a5369
1376023c638a
143b8a2d2049
1520d2851299
hex126ceed9c1

79137003969 has 81 divisors (see below), whose sum is σ = 124911901569. Its totient is φ = 50129976600.

The previous prime is 79137003961. The next prime is 79137004031. The reversal of 79137003969 is 96930073197.

The square root of 79137003969 is 281313.

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

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 79137003969 - 23 = 79137003961 is a prime.

It is a super-2 number, since 2×791370039692 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (79137003961) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 524086044 + ... + 524086194.

Almost surely, 279137003969 is an apocalyptic number.

79137003969 is the 281313-rd square number.

79137003969 is the 140657-th centered octagonal number.

It is an amenable number.

79137003969 is a deficient number, since it is larger than the sum of its proper divisors (45774897600).

79137003969 is an frugal number, since it uses more digits than its factorization.

79137003969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1928934, while the sum is 54.

The spelling of 79137003969 in words is "seventy-nine billion, one hundred thirty-seven million, three thousand, nine hundred sixty-nine".

Divisors: 1 3 9 23 27 69 81 151 207 243 453 529 621 729 1359 1587 1863 2187 3473 4077 4761 5589 6561 10419 12231 14283 16767 22801 31257 36693 42849 50301 68403 79879 93771 110079 128547 150903 205209 239637 281313 330237 385641 524423 615627 718911 843939 990711 1156923 1573269 1846881 2156733 2531817 3470769 4719807 5540643 6470199 7595451 12061729 14159421 16621929 19410597 22786353 36185187 42478263 49865787 58231791 108555561 127434789 149597361 174695373 325666683 382304367 524086119 977000049 1146913101 2931000147 3440739303 8793000441 26379001323 79137003969