Search a number
-
+
79934980096 = 21629137307
BaseRepresentation
bin100101001110001111…
…1110000000000000000
321122022210202201110101
41022130133300000000
52302201323330341
6100415512012144
75526602056126
oct1123437600000
9248283681411
1079934980096
113099a237724
12135aa091054
1376cb81acba
143c24291916
15212c928831
hex129c7f0000

79934980096 has 136 divisors (see below), whose sum is σ = 167131253520. Its totient is φ = 38182846464.

The previous prime is 79934980087. The next prime is 79934980109. The reversal of 79934980096 is 69008943997.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260374375 + ... + 260374681.

Almost surely, 279934980096 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 79934980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83565626760).

79934980096 is an abundant number, since it is smaller than the sum of its proper divisors (87196273424).

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

79934980096 is an equidigital number, since it uses as much as digits as its factorization.

79934980096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 64.

The spelling of 79934980096 in words is "seventy-nine billion, nine hundred thirty-four million, nine hundred eighty thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 307 464 512 548 614 928 1024 1096 1228 1856 2048 2192 2456 3712 3973 4096 4384 4912 7424 7946 8192 8768 8903 9824 14848 15892 16384 17536 17806 19648 29696 31784 32768 35072 35612 39296 42059 59392 63568 65536 70144 71224 78592 84118 118784 127136 140288 142448 157184 168236 237568 254272 280576 284896 314368 336472 475136 508544 561152 569792 628736 672944 950272 1017088 1122304 1139584 1219711 1257472 1345888 1900544 2034176 2244608 2279168 2439422 2514944 2691776 4068352 4489216 4558336 4878844 5029888 5383552 8136704 8978432 9116672 9757688 10059776 10767104 16273408 18233344 19515376 20119552 21534208 32546816 36466688 39030752 43068416 65093632 72933376 78061504 86136832 130187264 145866752 156123008 172273664 260374528 291733504 312246016 344547328 583467008 624492032 689094656 1248984064 1378189312 2497968128 2756378624 4995936256 9991872512 19983745024 39967490048 79934980096