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77516112121980 = 223571297914220061
BaseRepresentation
bin10001101000000000100000…
…010100111101000001111100
3101011110110122010121001122220
4101220000200110331001330
540130010444200400410
6432510224343005340
722220232343403310
oct2150004024750174
9334413563531586
1077516112121980
11227764424a7654
12883b185139850
13343397953248c
14151db2aabbb40
158e658a5ba070
hex46802053d07c

77516112121980 has 96 divisors (see below), whose sum is σ = 248070687997440. Its totient is φ = 17716602113280.

The previous prime is 77516112121969. The next prime is 77516112122021. The reversal of 77516112121980 is 8912121161577.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1658851 + ... + 12561210.

It is an arithmetic number, because the mean of its divisors is an integer number (2584069666640).

Almost surely, 277516112121980 is an apocalyptic number.

77516112121980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

77516112121980 is an abundant number, since it is smaller than the sum of its proper divisors (170554575875460).

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

77516112121980 is a wasteful number, since it uses less digits than its factorization.

77516112121980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14233059 (or 14233057 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 51.

The spelling of 77516112121980 in words is "seventy-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 12979 25958 38937 51916 64895 77874 90853 129790 155748 181706 194685 259580 272559 363412 389370 454265 545118 778740 908530 1090236 1362795 1817060 2725590 5451180 14220061 28440122 42660183 56880244 71100305 85320366 99540427 142200610 170640732 199080854 213300915 284401220 298621281 398161708 426601830 497702135 597242562 853203660 995404270 1194485124 1493106405 1990808540 2986212810 5972425620 184562171719 369124343438 553686515157 738248686876 922810858595 1107373030314 1291935202033 1845621717190 2214746060628 2583870404066 2768432575785 3691243434380 3875805606099 5167740808132 5536865151570 6459676010165 7751611212198 11073730303140 12919352020330 15503222424396 19379028030495 25838704040660 38758056060990 77516112121980