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266231054651536 = 24138982917348057
BaseRepresentation
bin111100100010001010111111…
…011100001101000010010000
31021220122102212221122120020101
4330202022333130031002100
5234343412144442322121
62342120505202022144
7110035362502151212
oct7442127734150220
91256572787576211
10266231054651536
1177913a577a3377
1225a39441647954
13b572633214c80
1449a591a76c5b2
1520ba432552491
hexf222bf70d090

266231054651536 has 80 divisors (see below), whose sum is σ = 562420570748400. Its totient is φ = 121348680228864.

The previous prime is 266231054651521. The next prime is 266231054651539. The reversal of 266231054651536 is 635156450132662.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 17305966081936 + 248925088569600 = 4160044^2 + 15777360^2 .

It is not an unprimeable number, because it can be changed into a prime (266231054651539) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6672420 + ... + 24020476.

It is an arithmetic number, because the mean of its divisors is an integer number (7030257134355).

Almost surely, 2266231054651536 is an apocalyptic number.

266231054651536 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 266231054651536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281210285374200).

266231054651536 is an abundant number, since it is smaller than the sum of its proper divisors (296189516096864).

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

266231054651536 is a wasteful number, since it uses less digits than its factorization.

266231054651536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17348996 (or 17348990 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 55.

The spelling of 266231054651536 in words is "two hundred sixty-six trillion, two hundred thirty-one billion, fifty-four million, six hundred fifty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 89 104 178 208 356 712 829 1157 1424 1658 2314 3316 4628 6632 9256 10777 13264 18512 21554 43108 73781 86216 147562 172432 295124 590248 959153 1180496 1918306 3836612 7673224 15346448 17348057 34696114 69392228 138784456 225524741 277568912 451049482 902098964 1543977073 1804197928 3087954146 3608395856 6175908292 12351816584 14381539253 20071701949 24703633168 28763078506 40143403898 57526157012 80286807796 115052314024 160573615592 186960010289 230104628048 321147231184 373920020578 747840041156 1279956993517 1495680082312 2559913987034 2991360164624 5119827974068 10239655948136 16639440915721 20479311896272 33278881831442 66557763662884 133115527325768 266231054651536