Search a number
-
+
46590355309564 = 22111788159217701
BaseRepresentation
bin10101001011111101010011…
…00101000000001111111100
320002221222211222010120200001
422211332221211000033330
522101314021424401224
6243031151434244044
712546020302641013
oct1245765145001774
9202858758116601
1046590355309564
1113932949a67380
125285633886624
131ccc5b438c431
14b70db1679a7a
1555bdc6e4b544
hex2a5fa99403fc

46590355309564 has 24 divisors (see below), whose sum is σ = 88950199561776. Its totient is φ = 21176249520000.

The previous prime is 46590355309523. The next prime is 46590355309573.

46590355309564 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×465903553095642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46590355309496 and 46590355309505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28822087 + ... + 30395614.

It is an arithmetic number, because the mean of its divisors is an integer number (3706258315074).

Almost surely, 246590355309564 is an apocalyptic number.

46590355309564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46590355309564 is a deficient number, since it is larger than the sum of its proper divisors (42359844252212).

46590355309564 is a wasteful number, since it uses less digits than its factorization.

46590355309564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59235597 (or 59235595 counting only the distinct ones).

The product of its (nonzero) digits is 262440000, while the sum is 64.

The spelling of 46590355309564 in words is "forty-six trillion, five hundred ninety billion, three hundred fifty-five million, three hundred nine thousand, five hundred sixty-four".

Divisors: 1 2 4 11 22 44 17881 35762 71524 196691 393382 786764 59217701 118435402 236870804 651394711 1302789422 2605578844 1058871711581 2117743423162 4235486846324 11647588827391 23295177654782 46590355309564