Search a number
-
+
91827890139969 = 3410647432
BaseRepresentation
bin10100111000010001011000…
…110001011011001101000001
3110001010122211112212100110000
4110320101120301123031001
544014002004333434334
6523145052251030213
725225226502353304
oct2470213061331501
9401118745770400
1091827890139969
1127293a980437a5
12a370a3a73b369
133c31443466c29
1418966ca604b3b
15a939c2b9a299
hex538458c5b341

91827890139969 has 15 divisors (see below), whose sum is σ = 137175125215953. Its totient is φ = 61218535930524.

The previous prime is 91827890139917. The next prime is 91827890140003. The reversal of 91827890139969 is 96993109872819.

The square root of 91827890139969 is 9582687.

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

91827890139969 is a `hidden beast` number, since 9 + 1 + 82 + 7 + 8 + 90 + 1 + 399 + 69 = 666.

It is a de Polignac number, because none of the positive numbers 2k-91827890139969 is a prime.

It is a super-2 number, since 2×918278901399692 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (91827890138969) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 85711812 + ... + 86776554.

Almost surely, 291827890139969 is an apocalyptic number.

91827890139969 is the 9582687-th square number.

91827890139969 is the 4791344-th centered octagonal number.

It is an amenable number.

91827890139969 is a deficient number, since it is larger than the sum of its proper divisors (45347235075984).

91827890139969 is an frugal number, since it uses more digits than its factorization.

91827890139969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2129498 (or 1064746 counting only the distinct ones).

The product of its (nonzero) digits is 952342272, while the sum is 81.

91827890139969 divided by its sum of digits (81) gives a square (1133677656049 = 10647432).

The spelling of 91827890139969 in words is "ninety-one trillion, eight hundred twenty-seven billion, eight hundred ninety million, one hundred thirty-nine thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 1064743 3194229 9582687 28748061 86244183 1133677656049 3401032968147 10203098904441 30609296713323 91827890139969