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2255733264664 = 23114127128513
BaseRepresentation
bin100000110100110100001…
…011100001000100011000
321222122102221002201200001
4200310310023201010120
5243424220203432124
64444134120222344
7321654113250115
oct40646413410430
97878387081601
102255733264664
1179a7186916a0
1230521460a9b4
1313493a36a159
147b26c8b990c
153da242e1b44
hex20d342e1118

2255733264664 has 96 divisors (see below), whose sum is σ = 4744599163920. Its totient is φ = 996516864000.

The previous prime is 2255733264661. The next prime is 2255733264671. The reversal of 2255733264664 is 4664623375522.

It is a super-2 number, since 2×22557332646642 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2255733264661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264970872 + ... + 264979384.

Almost surely, 22255733264664 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 2255733264664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372299581960).

2255733264664 is an abundant number, since it is smaller than the sum of its proper divisors (2488865899256).

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

2255733264664 is a wasteful number, since it uses less digits than its factorization.

2255733264664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9113 (or 8838 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 55.

The spelling of 2255733264664 in words is "two trillion, two hundred fifty-five billion, seven hundred thirty-three million, two hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 271 328 451 542 902 1084 1804 2168 2981 3608 5962 8513 11111 11924 17026 22222 23848 34052 44444 68104 73441 88888 93643 122221 146882 187286 244442 293764 349033 374572 488884 587528 698066 749144 807851 977768 1396132 1615702 2307023 2792264 3011081 3231404 3839363 4614046 6022162 6462808 7678726 9228092 12044324 15357452 18456184 24088648 25377253 30714904 33121891 50754506 66243782 94587943 101509012 132487564 189175886 203018024 264975128 378351772 625203233 756703544 1040467373 1250406466 2080934746 2500812932 4161869492 5001625864 6877235563 8323738984 13754471126 25633332553 27508942252 51266665106 55017884504 102533330212 205066660424 281966658083 563933316166 1127866632332 2255733264664