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90071248980 = 22352365269021
BaseRepresentation
bin101001111100010101…
…0100011000001010100
322121111012221112100110
41103320222203001110
52433431214431410
6105213403243020
76336022661346
oct1237052430124
9277435845313
1090071248980
1135220965549
1215558819470
13865580a43b
144506567296
152522752720
hex14f8aa3054

90071248980 has 48 divisors (see below), whose sum is σ = 263164696704. Its totient is φ = 22974695040.

The previous prime is 90071248951. The next prime is 90071249027. The reversal of 90071248980 is 8984217009.

It is a super-2 number, since 2×900712489802 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32633131 + ... + 32635890.

It is an arithmetic number, because the mean of its divisors is an integer number (5482597848).

Almost surely, 290071248980 is an apocalyptic number.

It is an amenable number.

90071248980 is an abundant number, since it is smaller than the sum of its proper divisors (173093447724).

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

90071248980 is a wasteful number, since it uses less digits than its factorization.

90071248980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65269056 (or 65269054 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 90071248980 in words is "ninety billion, seventy-one million, two hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 65269021 130538042 195807063 261076084 326345105 391614126 652690210 783228252 979035315 1305380420 1501187483 1958070630 3002374966 3916141260 4503562449 6004749932 7505937415 9007124898 15011874830 18014249796 22517812245 30023749660 45035624490 90071248980