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11377208896 = 266721992
BaseRepresentation
bin10101001100010001…
…00110111001000000
31002100220020002120021
422212020212321000
5141300031141041
65120541023224
7551636452144
oct124610467100
932326202507
1011377208896
114909157489
122256254b14
1310c4119291
1479d021224
15468c4ecd1
hex2a6226e40

11377208896 has 63 divisors (see below), whose sum is σ = 23034390939. Its totient is φ = 5575540608.

The previous prime is 11377208839. The next prime is 11377208897. The reversal of 11377208896 is 69880277311.

The square root of 11377208896 is 106664.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11377208897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 57171805 + ... + 57172003.

It is an arithmetic number, because the mean of its divisors is an integer number (365625253).

Almost surely, 211377208896 is an apocalyptic number.

11377208896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11377208896 is the 106664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11377208896

11377208896 is an abundant number, since it is smaller than the sum of its proper divisors (11657182043).

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

11377208896 is an frugal number, since it uses more digits than its factorization.

11377208896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 52.

The spelling of 11377208896 in words is "eleven billion, three hundred seventy-seven million, two hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 67 134 199 268 398 536 796 1072 1592 2144 3184 4288 4489 6368 8978 12736 13333 17956 26666 35912 39601 53332 71824 79202 106664 143648 158404 213328 287296 316808 426656 633616 853312 893311 1267232 1786622 2534464 2653267 3573244 5306534 7146488 10613068 14292976 21226136 28585952 42452272 57171904 84904544 169809088 177768889 355537778 711075556 1422151112 2844302224 5688604448 11377208896