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419707031104 = 2647217232
BaseRepresentation
bin1100001101110000111…
…11010000111001000000
31111010100002211021110201
412012320133100321000
523334024444443404
6520451042134544
742215505621124
oct6067037207100
91433302737421
10419707031104
11151aa674a569
1269413051454
133076940a5aa
14164575c5584
15adb6a93ca4
hex61b87d0e40

419707031104 has 63 divisors (see below), whose sum is σ = 851447677467. Its totient is φ = 205269343104.

The previous prime is 419707031099. The next prime is 419707031129. The reversal of 419707031104 is 401130707914.

The square root of 419707031104 is 647848.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 243589987 + ... + 243591709.

Almost surely, 2419707031104 is an apocalyptic number.

419707031104 is the 647848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419707031104

419707031104 is an abundant number, since it is smaller than the sum of its proper divisors (431740646363).

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

419707031104 is an frugal number, since it uses more digits than its factorization.

419707031104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3552 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The spelling of 419707031104 in words is "four hundred nineteen billion, seven hundred seven million, thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 1723 2209 3008 3446 4418 6892 8836 13784 17672 27568 35344 55136 70688 80981 110272 141376 161962 323924 647848 1295696 2591392 2968729 3806107 5182784 5937458 7612214 11874916 15224428 23749832 30448856 47499664 60897712 94999328 121795424 139530263 189998656 243590848 279060526 558121052 1116242104 2232484208 4464968416 6557922361 8929936832 13115844722 26231689444 52463378888 104926757776 209853515552 419707031104