Search a number
-
+
79298252472 = 23361241317709
BaseRepresentation
bin100100111011010001…
…0110100111010111000
321120200102122121100210
41021312202310322320
52244400323034342
6100232404431120
75505041011305
oct1116642647270
9246612577323
1079298252472
11306a288384a
12134509a84a0
1376299331aa
143ba38a80ac
1520e1aa379c
hex12768b4eb8

79298252472 has 128 divisors (see below), whose sum is σ = 203256187200. Its totient is φ = 25773465600.

The previous prime is 79298252447. The next prime is 79298252521. The reversal of 79298252472 is 27425289297.

It is a super-2 number, since 2×792982524722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 111844854 + ... + 111845562.

Almost surely, 279298252472 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 79298252472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101628093600).

79298252472 is an abundant number, since it is smaller than the sum of its proper divisors (123957934728).

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

79298252472 is a wasteful number, since it uses less digits than its factorization.

79298252472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 57.

The spelling of 79298252472 in words is "seventy-nine billion, two hundred ninety-eight million, two hundred fifty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 241 244 317 366 482 488 634 709 723 732 951 964 1268 1418 1446 1464 1902 1928 2127 2536 2836 2892 3804 4254 5672 5784 7608 8508 14701 17016 19337 29402 38674 43249 44103 58011 58804 76397 77348 86498 88206 116022 117608 129747 152794 154696 170869 172996 176412 224753 229191 232044 259494 305588 341738 345992 352824 449506 458382 464088 512607 518988 611176 674259 683476 899012 916764 1025214 1037976 1348518 1366952 1798024 1833528 2050428 2697036 4100856 4660217 5394072 9320434 10423009 13709933 13980651 18640868 20846018 27419866 27961302 31269027 37281736 41129799 41692036 54165473 54839732 55922604 62538054 82259598 83384072 108330946 109679464 111845208 125076108 162496419 164519196 216661892 250152216 324992838 329038392 433323784 649985676 1299971352 3304093853 6608187706 9912281559 13216375412 19824563118 26432750824 39649126236 79298252472