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11741007036 = 22311211037331
BaseRepresentation
bin10101110111101000…
…11000110010111100
31010022020202221210110
422323310120302330
5143021144211121
65221014310020
7563644625133
oct127364306274
933266687713
1011741007036
114a85546400
122338058310
1311515c3a55
147d548091a
1548ab61d76
hex2bbd18cbc

11741007036 has 72 divisors (see below), whose sum is σ = 30144022272. Its totient is φ = 3554170400.

The previous prime is 11741007029. The next prime is 11741007059. The reversal of 11741007036 is 63070014711.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11741006994 and 11741007012.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1597891 + ... + 1605221.

It is an arithmetic number, because the mean of its divisors is an integer number (418666976).

Almost surely, 211741007036 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 11741007036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15072011136).

11741007036 is an abundant number, since it is smaller than the sum of its proper divisors (18403015236).

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

11741007036 is a wasteful number, since it uses less digits than its factorization.

11741007036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8463 (or 8450 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 11741007036 in words is "eleven billion, seven hundred forty-one million, seven thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 726 1103 1452 2206 3309 4412 6618 7331 12133 13236 14662 21993 24266 29324 36399 43986 48532 72798 80641 87972 133463 145596 161282 241923 266926 322564 400389 483846 533852 800778 887051 967692 1601556 1774102 2661153 3548204 5322306 8086093 10644612 16172186 24258279 32344372 48516558 88947023 97033116 177894046 266841069 355788092 533682138 978417253 1067364276 1956834506 2935251759 3913669012 5870503518 11741007036