Search a number
-
+
7004107066704 = 2431137358523089
BaseRepresentation
bin110010111101100010101…
…0100000100110101010000
3220210120211021010120201220
41211323011110010311100
51404223402402113304
622521350430125040
71322013205520466
oct145730524046520
926716737116656
107004107066704
11226047492a350
12951539350780
133ba63b496207
141a300189a836
15c22d6072ad9
hex65ec5504d50

7004107066704 has 80 divisors (see below), whose sum is σ = 20272329600960. Its totient is φ = 2065092986880.

The previous prime is 7004107066699. The next prime is 7004107066739. The reversal of 7004107066704 is 4076607014007.

It is a super-2 number, since 2×70041070667042 (a number of 26 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 15 ways as a sum of consecutive naturals, for example, 179242009 + ... + 179281080.

It is an arithmetic number, because the mean of its divisors is an integer number (253404120012).

Almost surely, 27004107066704 is an apocalyptic number.

7004107066704 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

7004107066704 is an abundant number, since it is smaller than the sum of its proper divisors (13268222534256).

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

7004107066704 is a wasteful number, since it uses less digits than its factorization.

7004107066704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358523148 (or 358523142 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The spelling of 7004107066704 in words is "seven trillion, four billion, one hundred seven million, sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 358523089 717046178 1075569267 1434092356 2151138534 2868184712 3943753979 4302277068 5736369424 7887507958 8604554136 11831261937 13265354293 15775015916 17209108272 23662523874 26530708586 31550031832 39796062879 47325047748 53061417172 63100063664 79592125758 94650095496 106122834344 145918897223 159184251516 189300190992 212245668688 291837794446 318368503032 437756691669 583675588892 636737006064 875513383338 1167351177784 1751026766676 2334702355568 3502053533352 7004107066704