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11055260352 = 2631929310343
BaseRepresentation
bin10100100101111000…
…11110001011000000
31001112110102102012010
422102330132023000
5140120121312402
65025000332520
7540650106513
oct122274361300
931473372163
1011055260352
114763451804
122186474140
131072505196
1476c376d7a
1544a857a6c
hex292f1e2c0

11055260352 has 112 divisors (see below), whose sum is σ = 30897941760. Its totient is φ = 3478883328.

The previous prime is 11055260291. The next prime is 11055260353. The reversal of 11055260352 is 25306255011.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11055260353) 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, 1063693 + ... + 1074035.

It is an arithmetic number, because the mean of its divisors is an integer number (275874480).

Almost surely, 211055260352 is an apocalyptic number.

11055260352 is a gapful number since it is divisible by the number (12) 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 11055260352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15448970880).

11055260352 is an abundant number, since it is smaller than the sum of its proper divisors (19842681408).

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

11055260352 is a wasteful number, since it uses less digits than its factorization.

11055260352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10670 (or 10660 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 11055260352 in words is "eleven billion, fifty-five million, two hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 293 304 456 586 608 879 912 1172 1216 1758 1824 2344 3516 3648 4688 5567 7032 9376 10343 11134 14064 16701 18752 20686 22268 28128 31029 33402 41372 44536 56256 62058 66804 82744 89072 124116 133608 165488 178144 196517 248232 267216 330976 356288 393034 496464 534432 589551 661952 786068 992928 1068864 1179102 1572136 1985856 2358204 3030499 3144272 4716408 6060998 6288544 9091497 9432816 12121996 12577088 18182994 18865632 24243992 36365988 37731264 48487984 57579481 72731976 96975968 115158962 145463952 172738443 193951936 230317924 290927904 345476886 460635848 581855808 690953772 921271696 1381907544 1842543392 2763815088 3685086784 5527630176 11055260352