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83499955384561 = 2323972972
BaseRepresentation
bin10010111111000101011001…
…001011011111000011110001
3101221122111222110101022102221
4102333011121023133003301
541421030402034301221
6453331203331041041
723405446510043662
oct2277053113370361
9357574873338387
1083499955384561
112467314aa80051
129446a26140181
1337790204bb601
1416895c2bb9369
1599c05adeb541
hex4bf1592df0f1

83499955384561 has 9 divisors (see below), whose sum is σ = 87288452839371. Its totient is φ = 79869321509472.

The previous prime is 83499955384553. The next prime is 83499955384603. The reversal of 83499955384561 is 16548355999438.

The square root of 83499955384561 is 9137831.

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., 76973688106225 + 6526267278336 = 8773465^2 + 2554656^2 .

It is not a de Polignac number, because 83499955384561 - 23 = 83499955384553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83499955324561) 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, 209971465 + ... + 210368761.

Almost surely, 283499955384561 is an apocalyptic number.

83499955384561 is the 9137831-st square number.

83499955384561 is the 4568916-th centered octagonal number.

It is an amenable number.

83499955384561 is a deficient number, since it is larger than the sum of its proper divisors (3788497454810).

83499955384561 is an frugal number, since it uses more digits than its factorization.

83499955384561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794640 (or 397320 counting only the distinct ones).

The product of its digits is 5038848000, while the sum is 79.

The spelling of 83499955384561 in words is "eighty-three trillion, four hundred ninety-nine billion, nine hundred fifty-five million, three hundred eighty-four thousand, five hundred sixty-one".

Divisors: 1 23 529 397297 9137831 210170113 157844906209 3630432842807 83499955384561