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2590206996 = 22313194320323
BaseRepresentation
bin1001101001100011…
…0110110000010100
320200111221011000110
42122120312300110
520301043110441
61105005043020
7121121252616
oct23230666024
96614834013
102590206996
11110a116943
12603556470
13323824680
141a8012db6
151025e8b16
hex9a636c14

2590206996 has 96 divisors (see below), whose sum is σ = 7010967040. Its totient is φ = 737444736.

The previous prime is 2590206973. The next prime is 2590207001. The reversal of 2590206996 is 6996020952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117291 + ... + 137613.

Almost surely, 22590206996 is an apocalyptic number.

2590206996 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2590206996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505483520).

2590206996 is an abundant number, since it is smaller than the sum of its proper divisors (4420760044).

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

2590206996 is a wasteful number, since it uses less digits than its factorization.

2590206996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20405 (or 20403 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The square root of 2590206996 is about 50894.0762368274. The cubic root of 2590206996 is about 1373.3402776903.

The spelling of 2590206996 in words is "two billion, five hundred ninety million, two hundred six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 43 52 57 76 78 86 114 129 156 172 228 247 258 494 516 559 741 817 988 1118 1482 1634 1677 2236 2451 2964 3268 3354 4902 6708 9804 10621 20323 21242 31863 40646 42484 60969 63726 81292 121938 127452 243876 264199 386137 528398 772274 792597 873889 1056796 1158411 1544548 1585194 1747778 2316822 2621667 3170388 3495556 4633644 5019781 5243334 10039562 10486668 11360557 15059343 16603891 20079124 22721114 30118686 33207782 34081671 45442228 49811673 60237372 66415564 68163342 99623346 136326684 199246692 215850583 431701166 647551749 863402332 1295103498 2590206996