Search a number
-
+
345555605636604 = 2232117414911768401
BaseRepresentation
bin100111010010001111110111…
…1000111111100010111111100
31200022111210102022000110020200
41032210133233013330113330
5330243040340020332404
63222534015334043500
7132533366020352136
oct11644375707742774
91608453368013220
10345555605636604
11a0117344847320
123290aba91a9590
1311aa79a510024c
146148da28c2056
1529e3a6345e839
hex13a47ef1fc5fc

345555605636604 has 72 divisors (see below), whose sum is σ = 952908693063600. Its totient is φ = 104712398784000.

The previous prime is 345555605636519. The next prime is 345555605636617. The reversal of 345555605636604 is 406636506555543.

It is a happy number.

345555605636604 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 5 + 5 + 6 + 0 + 563 + 6 + 60 + 4 = 666.

It is a super-2 number, since 2×3455556056366042 (a number of 30 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 (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23478804 + ... + 35247204.

Almost surely, 2345555605636604 is an apocalyptic number.

It is an amenable number.

345555605636604 is an abundant number, since it is smaller than the sum of its proper divisors (607353087426996).

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

345555605636604 is a wasteful number, since it uses less digits than its factorization.

345555605636604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11842571 (or 11842566 counting only the distinct ones).

The product of its (nonzero) digits is 583200000, while the sum is 63.

The spelling of 345555605636604 in words is "three hundred forty-five trillion, five hundred fifty-five billion, six hundred five million, six hundred thirty-six thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 74149 148298 222447 296596 444894 667341 815639 889788 1334682 1631278 2446917 2669364 3262556 4893834 7340751 9787668 11768401 14681502 23536802 29363004 35305203 47073604 70610406 105915609 129452411 141220812 211831218 258904822 388357233 423662436 517809644 776714466 1165071699 1553428932 2330143398 4660286796 872615165749 1745230331498 2617845497247 3490460662996 5235690994494 7853536491741 9598766823239 10471381988988 15707072983482 19197533646478 28796300469717 31414145966964 38395067292956 57592600939434 86388901409151 115185201878868 172777802818302 345555605636604