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79137968640 = 293535329191
BaseRepresentation
bin100100110110011111…
…1011001001000000000
321120021021001100021120
41021230333121020000
52244033304444030
6100204441152240
75501053430433
oct1115477311000
9246237040246
1079137968640
1130620358175
121340718b680
1376026734a3
143b8a4a381a
1520d2992010
hex126cfd9200

79137968640 has 160 divisors (see below), whose sum is σ = 253719582336. Its totient is φ = 21042954240.

The previous prime is 79137968639. The next prime is 79137968647. The reversal of 79137968640 is 4686973197.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (79137968647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2696445 + ... + 2725635.

Almost surely, 279137968640 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 79137968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126859791168).

79137968640 is an abundant number, since it is smaller than the sum of its proper divisors (174581613696).

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

79137968640 is a wasteful number, since it uses less digits than its factorization.

79137968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29570 (or 29554 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 60.

The spelling of 79137968640 in words is "seventy-nine billion, one hundred thirty-seven million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 353 384 480 512 640 706 768 960 1059 1280 1412 1536 1765 1920 2118 2560 2824 3530 3840 4236 5295 5648 7060 7680 8472 10590 11296 14120 16944 21180 22592 28240 29191 33888 42360 45184 56480 58382 67776 84720 87573 90368 112960 116764 135552 145955 169440 175146 180736 225920 233528 271104 291910 338880 350292 437865 451840 467056 542208 583820 677760 700584 875730 903680 934112 1167640 1355520 1401168 1751460 1868224 2335280 2711040 2802336 3502920 3736448 4670560 5604672 7005840 7472896 9341120 10304423 11209344 14011680 14945792 18682240 20608846 22418688 28023360 30913269 37364480 41217692 44837376 51522115 56046720 61826538 74728960 82435384 103044230 112093440 123653076 154566345 164870768 206088460 224186880 247306152 309132690 329741536 412176920 494612304 618265380 659483072 824353840 989224608 1236530760 1318966144 1648707680 1978449216 2473061520 2637932288 3297415360 3956898432 4946123040 5275864576 6594830720 7913796864 9892246080 13189661440 15827593728 19784492160 26379322880 39568984320 79137968640