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11267397904 = 24721722232
BaseRepresentation
bin10100111111001011…
…01101100100010000
31002002020121010012111
422133211231210100
5141033423213104
65102015235104
7546134205400
oct123745554420
932066533174
1011267397904
1148621748a4
122225518a94
1310a744bc69
1478c5d8800
1545e2ad404
hex29f96d910

11267397904 has 135 divisors (see below), whose sum is σ = 27097953957. Its totient is φ = 4524452352.

The previous prime is 11267397899. The next prime is 11267397913. The reversal of 11267397904 is 40979376211.

The square root of 11267397904 is 106148.

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

11267397904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8772195600 + 2495202304 = 93660^2 + 49952^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50526337 + ... + 50526559.

Almost surely, 211267397904 is an apocalyptic number.

11267397904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11267397904 is the 106148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11267397904

11267397904 is an abundant number, since it is smaller than the sum of its proper divisors (15830556053).

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

11267397904 is an equidigital number, since it uses as much as digits as its factorization.

11267397904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

Multiplying 11267397904 by its sum of digits (49), we get a square (552102497296 = 7430362).

11267397904 divided by its sum of digits (49) gives a square (229946896 = 151642).

The spelling of 11267397904 in words is "eleven billion, two hundred sixty-seven million, three hundred ninety-seven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 223 238 272 289 392 446 476 578 784 833 892 952 1156 1561 1666 1784 1904 2023 2312 3122 3332 3568 3791 4046 4624 6244 6664 7582 8092 10927 12488 13328 14161 15164 16184 21854 24976 26537 28322 30328 32368 43708 49729 53074 56644 60656 64447 87416 99458 106148 113288 128894 174832 185759 198916 212296 226576 257788 348103 371518 397832 424592 451129 515576 696206 743036 795664 845393 902258 1031152 1392412 1486072 1690786 1804516 2436721 2784824 2972144 3157903 3381572 3609032 4873442 5569648 5917751 6315806 6763144 7218064 9746884 11835502 12631612 13526288 14371681 19493768 23671004 25263224 28743362 38987536 41424257 47342008 50526448 57486724 82848514 94684016 100601767 114973448 165697028 201203534 229946896 331394056 402407068 662788112 704212369 804814136 1408424738 1609628272 2816849476 5633698952 11267397904