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2772390422688 = 253193552727073
BaseRepresentation
bin101000010101111111010…
…110001010100010100000
3100211001000122200202001020
4220111333112022202200
5330410323422011223
65521341340205440
7404204263525425
oct50257726124240
910731018622036
102772390422688
11979845132497
12389383b39880
13171587460243
1498282055d4c
154c1b24791e3
hex2857f58a8a0

2772390422688 has 96 divisors (see below), whose sum is σ = 7316826039936. Its totient is φ = 919141613568.

The previous prime is 2772390422651. The next prime is 2772390422693. The reversal of 2772390422688 is 8862240932772.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×27723904226882 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102390720 + ... + 102417792.

It is an arithmetic number, because the mean of its divisors is an integer number (76216937916).

Almost surely, 22772390422688 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 2772390422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658413019968).

2772390422688 is an abundant number, since it is smaller than the sum of its proper divisors (4544435617248).

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

2772390422688 is a wasteful number, since it uses less digits than its factorization.

2772390422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32806 (or 32798 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 2772390422688 in words is "two trillion, seven hundred seventy-two billion, three hundred ninety million, four hundred twenty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 193 386 579 772 1158 1544 2316 3088 4632 5527 6176 9264 11054 16581 18528 22108 27073 33162 44216 54146 66324 81219 88432 108292 132648 162438 176864 216584 265296 324876 433168 530592 649752 866336 1066711 1299504 2133422 2599008 3200133 4266844 5225089 6400266 8533688 10450178 12800532 15675267 17067376 20900356 25601064 31350534 34134752 41800712 51202128 62701068 83601424 102404256 125402136 149632471 167202848 250804272 299264942 448897413 501608544 598529884 897794826 1197059768 1795589652 2394119536 3591179304 4788239072 7182358608 14364717216 28879066903 57758133806 86637200709 115516267612 173274401418 231032535224 346548802836 462065070448 693097605672 924130140896 1386195211344 2772390422688