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135919642937763 = 31959311197365867
BaseRepresentation
bin11110111001111001000010…
…000010010000100110100011
3122211020210100121120010100210
4132321321002002100212203
5120303401412043002023
61201024342202145203
740425604313361366
oct3671710202204643
9584223317503323
10135919642937763
113a343219025443
12132b21794b2203
135aac223823639
14257c78da280dd
1510aa8ada31593
hex7b9e420909a3

135919642937763 has 64 divisors (see below), whose sum is σ = 194723091763200. Its totient is φ = 84073744114560.

The previous prime is 135919642937761. The next prime is 135919642937809. The reversal of 135919642937763 is 367739246919531.

It is a happy number.

It is a Cunningham number, because it is equal to 116584582-1.

It is not a de Polignac number, because 135919642937763 - 21 = 135919642937761 is a prime.

It is a super-2 number, since 2×1359196429377632 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135919642937761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2063513956 + ... + 2063579822.

It is an arithmetic number, because the mean of its divisors is an integer number (3042548308800).

Almost surely, 2135919642937763 is an apocalyptic number.

135919642937763 is a deficient number, since it is larger than the sum of its proper divisors (58803448825437).

135919642937763 is a wasteful number, since it uses less digits than its factorization.

135919642937763 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68232.

The product of its digits is 1388832480, while the sum is 75.

The spelling of 135919642937763 in words is "one hundred thirty-five trillion, nine hundred nineteen billion, six hundred forty-two million, nine hundred thirty-seven thousand, seven hundred sixty-three".

Divisors: 1 3 19 57 59 177 311 933 1121 1973 3363 5909 5919 17727 18349 37487 55047 65867 112461 116407 197601 348631 349221 613603 1045893 1251473 1840809 2211733 3754419 3886153 6635199 11658457 11658459 20484637 34975371 36202577 61453911 73836907 108607731 129955591 221510721 389208103 389866773 687848963 1167624309 1208593583 2063546889 2469156229 3625780749 7407468687 7667379869 22963278077 23002139607 40416188801 68889834231 121248566403 145680217511 437040652533 767907587219 2303722761657 2384555139259 7153665417777 45306547645921 135919642937763