Search a number
-
+
91550456695152 = 2434731383190871
BaseRepresentation
bin10100110100001111000000…
…011100110100100101110000
3110000011010201201220002210000
4110310033000130310211300
543444430313403221102
6522413411005310000
725166205443112000
oct2464170034644560
9400133651802700
1091550456695152
11271973700a8404
12a327112865300
133c1122b975c70
1418870cc5a2000
15a8b68672d01c
hex5343c0734970

91550456695152 has 800 divisors, whose sum is σ = 336787994188800. Its totient is φ = 23854144688640.

The previous prime is 91550456695151. The next prime is 91550456695153. The reversal of 91550456695152 is 25159665405519.

91550456695152 is a `hidden beast` number, since 9 + 1 + 5 + 5 + 0 + 4 + 56 + 69 + 515 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (91550456695151) and next prime (91550456695153).

It is a super-2 number, since 2×915504566951522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 91550456695152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91550456695151) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 479550277 + ... + 479741147.

It is an arithmetic number, because the mean of its divisors is an integer number (420984992736).

Almost surely, 291550456695152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91550456695152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168393997094400).

91550456695152 is an abundant number, since it is smaller than the sum of its proper divisors (245237537493648).

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

91550456695152 is a wasteful number, since it uses less digits than its factorization.

91550456695152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191008 (or 190979 counting only the distinct ones).

The product of its (nonzero) digits is 72900000, while the sum is 63.

The spelling of 91550456695152 in words is "ninety-one trillion, five hundred fifty billion, four hundred fifty-six million, six hundred ninety-five thousand, one hundred fifty-two".