Search a number
-
+
420597085640 = 23513776751293
BaseRepresentation
bin1100001111011011000…
…10100011010111001000
31111012122010121201202112
412013231202203113020
523342340323220030
6521115235121452
742246534145244
oct6075542432710
91435563551675
10420597085640
111524130a9726
1269621143288
133087b931194
14164dd8b3424
15ae19ca8a95
hex61ed8a35c8

420597085640 has 32 divisors (see below), whose sum is σ = 953251071480. Its totient is φ = 167010811392.

The previous prime is 420597085633. The next prime is 420597085673. The reversal of 420597085640 is 46580795024.

It can be written as a sum of positive squares in 4 ways, for example, as 351509065924 + 69088019716 = 592882^2 + 262846^2 .

It is a super-2 number, since 2×4205970856402 (a number of 24 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 38370167 + ... + 38381126.

Almost surely, 2420597085640 is an apocalyptic number.

420597085640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420597085640 is an abundant number, since it is smaller than the sum of its proper divisors (532653985840).

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

420597085640 is a wasteful number, since it uses less digits than its factorization.

420597085640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76751441 (or 76751437 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 50.

The spelling of 420597085640 in words is "four hundred twenty billion, five hundred ninety-seven million, eighty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1370 2740 5480 76751293 153502586 307005172 383756465 614010344 767512930 1535025860 3070051720 10514927141 21029854282 42059708564 52574635705 84119417128 105149271410 210298542820 420597085640