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11164217250 = 235323647201
BaseRepresentation
bin10100110010111000…
…00110111110100010
31001211001102222221210
422121130012332202
5140331014423000
65043451530550
7543442165224
oct123134067642
931731388853
1011164217250
114809a0072a
1221b6a59a56
13108bc63814
1477ca1a414
154551cb350
hex299706fa2

11164217250 has 64 divisors (see below), whose sum is σ = 29077491456. Its totient is φ = 2847680000.

The previous prime is 11164217249. The next prime is 11164217257. The reversal of 11164217250 is 5271246111.

11164217250 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11164217257) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 306351 + ... + 340850.

It is an arithmetic number, because the mean of its divisors is an integer number (454335804).

Almost surely, 211164217250 is an apocalyptic number.

11164217250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11164217250 is an abundant number, since it is smaller than the sum of its proper divisors (17913274206).

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

11164217250 is a wasteful number, since it uses less digits than its factorization.

11164217250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647244 (or 647234 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The spelling of 11164217250 in words is "eleven billion, one hundred sixty-four million, two hundred seventeen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 575 690 750 1150 1725 2875 3450 5750 8625 17250 647201 1294402 1941603 3236005 3883206 6472010 9708015 14885623 16180025 19416030 29771246 32360050 44656869 48540075 74428115 80900125 89313738 97080150 148856230 161800250 223284345 242700375 372140575 446568690 485400750 744281150 1116421725 1860702875 2232843450 3721405750 5582108625 11164217250