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419902704001 = 112589092
BaseRepresentation
bin1100001110001000010…
…01101100100110000001
31111010211202000111020001
412013010021230212001
523334430043012001
6520522312120001
742223403044054
oct6070411544601
91433752014201
10419902704001
11152097147500
1269468696001
133079ab0b181
141647559ca9b
15adc8d46001
hex61c426c981

419902704001 has 9 divisors (see below), whose sum is σ = 461553782403. Its totient is φ = 381723250920.

The previous prime is 419902703999. The next prime is 419902704019. The reversal of 419902704001 is 100407209914.

The square root of 419902704001 is 647999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2405804401 + 417496899600 = 49049^2 + 646140^2 .

It is not a de Polignac number, because 419902704001 - 21 = 419902703999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (419902704301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7098535 + ... + 7157443.

Almost surely, 2419902704001 is an apocalyptic number.

419902704001 is the 647999-th square number.

419902704001 is the 324000-th centered octagonal number.

It is an amenable number.

419902704001 is a deficient number, since it is larger than the sum of its proper divisors (41651078402).

419902704001 is an frugal number, since it uses more digits than its factorization.

419902704001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117840 (or 58920 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The spelling of 419902704001 in words is "four hundred nineteen billion, nine hundred two million, seven hundred four thousand, one".

Divisors: 1 11 121 58909 647999 7127989 3470270281 38172973091 419902704001