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420195021156 = 223211672083921
BaseRepresentation
bin1100001110101011001…
…00110011000101100100
31111011121010001201222100
412013111210303011210
523341024411134111
6521011313332100
742233552514501
oct6072544630544
91434533051870
10420195021156
11152227153729
126952a567030
1330816548cc1
14164a23324a8
15ade4838756
hex61d5933164

420195021156 has 18 divisors (see below), whose sum is σ = 1062159636902. Its totient is φ = 140065007040.

The previous prime is 420195021139. The next prime is 420195021161. The reversal of 420195021156 is 651120591024.

420195021156 is a `hidden beast` number, since 4 + 20 + 19 + 502 + 115 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 348118880256 + 72076140900 = 590016^2 + 268470^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11672083921 = 420195021156 / (4 + 2 + 0 + 1 + 9 + 5 + 0 + 2 + 1 + 1 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 420195021156.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5836041925 + ... + 5836041996.

Almost surely, 2420195021156 is an apocalyptic number.

It is an amenable number.

420195021156 is an abundant number, since it is smaller than the sum of its proper divisors (641964615746).

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

420195021156 is a wasteful number, since it uses less digits than its factorization.

420195021156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672083931 (or 11672083926 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 420195021156 in words is "four hundred twenty billion, one hundred ninety-five million, twenty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 11672083921 23344167842 35016251763 46688335684 70032503526 105048755289 140065007052 210097510578 420195021156