Search a number
-
+
91055378176 = 287216344533
BaseRepresentation
bin101010011001101010…
…0101100111100000000
322201000210202110210221
41110303110230330000
52442440134100201
6105455200432424
76402302641600
oct1246324547400
9281023673727
1091055378176
1135686429364
1215792318714
13878167b7c9
14459b142c00
15257dd4b4a1
hex153352cf00

91055378176 has 108 divisors (see below), whose sum is σ = 212731258152. Its totient is φ = 38783453184.

The previous prime is 91055378171. The next prime is 91055378177. The reversal of 91055378176 is 67187355019.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91055378171) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2022406 + ... + 2066938.

Almost surely, 291055378176 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 91055378176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106365629076).

91055378176 is an abundant number, since it is smaller than the sum of its proper divisors (121675879976).

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

91055378176 is a wasteful number, since it uses less digits than its factorization.

91055378176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44726 (or 44705 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 52.

The spelling of 91055378176 in words is "ninety-one billion, fifty-five million, three hundred seventy-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 163 196 224 256 326 392 448 652 784 896 1141 1304 1568 1792 2282 2608 3136 4564 5216 6272 7987 9128 10432 12544 15974 18256 20864 31948 36512 41728 44533 63896 73024 89066 127792 146048 178132 255584 292096 311731 356264 511168 623462 712528 1022336 1246924 1425056 2044672 2182117 2493848 2850112 4364234 4987696 5700224 7258879 8728468 9975392 11400448 14517758 17456936 19950784 29035516 34913872 39901568 50812153 58071032 69827744 79803136 101624306 116142064 139655488 203248612 232284128 279310976 355685071 406497224 464568256 558621952 711370142 812994448 929136512 1422740284 1625988896 1858273024 2845480568 3251977792 5690961136 6503955584 11381922272 13007911168 22763844544 45527689088 91055378176