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79126146816 = 283239431083
BaseRepresentation
bin100100110110001001…
…0010010111100000000
321120020102210201210020
41021230102102330000
52244022243144231
6100203335533440
75500551102453
oct1115422227400
9246212721706
1079126146816
1130614713272
121340322a280
137600094622
143b88aa749a
1520d1909396
hex126c492f00

79126146816 has 72 divisors (see below), whose sum is σ = 211472567040. Its totient is φ = 26264964096.

The previous prime is 79126146719. The next prime is 79126146919. The reversal of 79126146816 is 61864162197.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31990 + ... + 399093.

Almost surely, 279126146816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79126146816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105736283520).

79126146816 is an abundant number, since it is smaller than the sum of its proper divisors (132346420224).

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

79126146816 is a wasteful number, since it uses less digits than its factorization.

79126146816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431341 (or 431327 counting only the distinct ones).

The product of its digits is 870912, while the sum is 51.

The spelling of 79126146816 in words is "seventy-nine billion, one hundred twenty-six million, one hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 239 256 384 478 717 768 956 1434 1912 2868 3824 5736 7648 11472 15296 22944 30592 45888 61184 91776 183552 431083 862166 1293249 1724332 2586498 3448664 5172996 6897328 10345992 13794656 20691984 27589312 41383968 55178624 82767936 103028837 110357248 165535872 206057674 309086511 331071744 412115348 618173022 824230696 1236346044 1648461392 2472692088 3296922784 4945384176 6593845568 9890768352 13187691136 19781536704 26375382272 39563073408 79126146816