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11101232992 = 252350929633
BaseRepresentation
bin10100101011010111…
…10101111101100000
31001122122221001210111
422111223311331200
5140213403423432
65033321541104
7542045631523
oct122553657540
931578831714
1011101232992
1147873a1723
122199944794
13107bbb0425
14774502bba
1544e8d9347
hex295af5f60

11101232992 has 48 divisors (see below), whose sum is σ = 22851370080. Its totient is φ = 5298675712.

The previous prime is 11101232971. The next prime is 11101232993. The reversal of 11101232992 is 29923210111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101232993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 359808 + ... + 389440.

It is an arithmetic number, because the mean of its divisors is an integer number (476070210).

Almost surely, 211101232992 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 11101232992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11425685040).

11101232992 is an abundant number, since it is smaller than the sum of its proper divisors (11750137088).

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

11101232992 is a wasteful number, since it uses less digits than its factorization.

11101232992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30175 (or 30167 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 31.

It can be divided in two parts, 11101232 and 992, that added together give a square (11102224 = 33322).

The spelling of 11101232992 in words is "eleven billion, one hundred one million, two hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 509 736 1018 2036 4072 8144 11707 16288 23414 29633 46828 59266 93656 118532 187312 237064 374624 474128 681559 948256 1363118 2726236 5452472 10904944 15083197 21809888 30166394 60332788 120665576 241331152 346913531 482662304 693827062 1387654124 2775308248 5550616496 11101232992