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11243916072 = 2333199326119
BaseRepresentation
bin10100111100011000…
…01000101100101000
31002000121102010012000
422132030020230220
5141011420303242
65055420051000
7545430465264
oct123614105450
932017363160
1011243916072
11484a996624
122219693a60
1310a2619a9c
147894450a4
1545c1c0a4c
hex29e308b28

11243916072 has 64 divisors (see below), whose sum is σ = 31249968000. Its totient is φ = 3745948032.

The previous prime is 11243916071. The next prime is 11243916077. The reversal of 11243916072 is 27061934211.

11243916072 is a `hidden beast` number, since 1 + 1 + 2 + 43 + 9 + 1 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11243916071) 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, 417429 + ... + 443547.

It is an arithmetic number, because the mean of its divisors is an integer number (488280750).

Almost surely, 211243916072 is an apocalyptic number.

11243916072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11243916072 is an abundant number, since it is smaller than the sum of its proper divisors (20006051928).

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

11243916072 is a wasteful number, since it uses less digits than its factorization.

11243916072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28127 (or 28117 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 11243916072 in words is "eleven billion, two hundred forty-three million, nine hundred sixteen thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1993 3986 5979 7972 11958 15944 17937 23916 26119 35874 47832 52238 53811 71748 78357 104476 107622 143496 156714 208952 215244 235071 313428 430488 470142 626856 705213 940284 1410426 1880568 2820852 5641704 52055167 104110334 156165501 208220668 312331002 416441336 468496503 624662004 936993006 1249324008 1405489509 1873986012 2810979018 3747972024 5621958036 11243916072