Search a number
-
+
345716001780732 = 2232114718574898011
BaseRepresentation
bin100111010011011010100011…
…1011110101011001111111100
31200100002010102120122210211100
41032212311013132223033330
5330303202332423440412
63223135423320053100
7132551104544160402
oct11646650736531774
91610063376583740
10345716001780732
11a0179373231420
12329360b1604190
1311ab9b5745b37b
146152a5ac75472
1529e7ceea9cedc
hex13a6d477ab3fc

345716001780732 has 72 divisors (see below), whose sum is σ = 973621854196992. Its totient is φ = 102533437015200.

The previous prime is 345716001780703. The next prime is 345716001780757. The reversal of 345716001780732 is 237087100617543.

345716001780732 is a `hidden beast` number, since 3 + 4 + 571 + 60 + 0 + 1 + 7 + 8 + 0 + 7 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9287430394 + ... + 9287467617.

It is an arithmetic number, because the mean of its divisors is an integer number (13522525752736).

Almost surely, 2345716001780732 is an apocalyptic number.

It is an amenable number.

345716001780732 is an abundant number, since it is smaller than the sum of its proper divisors (627905852416260).

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

345716001780732 is a wasteful number, since it uses less digits than its factorization.

345716001780732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18574898079 (or 18574898074 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 345716001780732 in words is "three hundred forty-five trillion, seven hundred sixteen billion, one million, seven hundred eighty thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1692 2068 3102 4653 6204 9306 18612 18574898011 37149796022 55724694033 74299592044 111449388066 167174082099 204323878121 222898776132 334348164198 408647756242 612971634363 668696328396 817295512484 873020206517 1225943268726 1746040413034 1838914903089 2451886537452 2619060619551 3492080826068 3677829806178 5238121239102 7355659612356 7857181858653 9603222271687 10476242478204 15714363717306 19206444543374 28809666815061 31428727434612 38412889086748 57619333630122 86429000445183 115238667260244 172858000890366 345716001780732