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11314712992 = 251133795383
BaseRepresentation
bin10101000100110100…
…01101000110100000
31002012112121222022011
422202122031012200
5141133031303432
65110425322304
7550250321302
oct124232150640
932175558264
1011314712992
114886951380
122239336394
1310b41a725b
147949d3972
15463507847
hex2a268d1a0

11314712992 has 48 divisors (see below), whose sum is σ = 24373282752. Its totient is φ = 5127736320.

The previous prime is 11314712987. The next prime is 11314712999. The reversal of 11314712992 is 29921741311.

It is not an unprimeable number, because it can be changed into a prime (11314712999) 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 7 ways as a sum of consecutive naturals, for example, 70933 + ... + 166315.

It is an arithmetic number, because the mean of its divisors is an integer number (507776724).

Almost surely, 211314712992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11314712992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186641376).

11314712992 is an abundant number, since it is smaller than the sum of its proper divisors (13058569760).

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

11314712992 is a wasteful number, since it uses less digits than its factorization.

11314712992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95741 (or 95733 counting only the distinct ones).

The product of its digits is 27216, while the sum is 40.

The spelling of 11314712992 in words is "eleven billion, three hundred fourteen million, seven hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 337 352 674 1348 2696 3707 5392 7414 10784 14828 29656 59312 95383 118624 190766 381532 763064 1049213 1526128 2098426 3052256 4196852 8393704 16787408 32144071 33574816 64288142 128576284 257152568 353584781 514305136 707169562 1028610272 1414339124 2828678248 5657356496 11314712992