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11372608881 = 32173110692243
BaseRepresentation
bin10101001011101110…
…00011110101110001
31002100120120101112100
422211313003311301
5141242341441011
65120254251013
7551552403054
oct124567036561
932316511470
1011372608881
1149065a5417
1222547b6a69
1310c319858a
1479c584a9b
15468641d56
hex2a5dc3d71

11372608881 has 48 divisors (see below), whose sum is σ = 17979287040. Its totient is φ = 6896033280.

The previous prime is 11372608861. The next prime is 11372608901. The reversal of 11372608881 is 18880627311.

It is a happy number.

11372608881 is a `hidden beast` number, since 1 + 1 + 37 + 2 + 608 + 8 + 8 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (11372608861) and next prime (11372608901).

It is not a de Polignac number, because 11372608881 - 29 = 11372608369 is a prime.

It is a super-4 number, since 4×113726088814 (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11372608811) 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 47 ways as a sum of consecutive naturals, for example, 5069146 + ... + 5071388.

It is an arithmetic number, because the mean of its divisors is an integer number (374568480).

Almost surely, 211372608881 is an apocalyptic number.

It is an amenable number.

11372608881 is a deficient number, since it is larger than the sum of its proper divisors (6606678159).

11372608881 is a wasteful number, since it uses less digits than its factorization.

11372608881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366 (or 3363 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 11372608881 in words is "eleven billion, three hundred seventy-two million, six hundred eight thousand, eight hundred eighty-one".

Divisors: 1 3 9 17 31 51 93 153 279 527 1069 1581 2243 3207 4743 6729 9621 18173 20187 33139 38131 54519 69533 99417 114393 163557 208599 298251 343179 563363 625797 1182061 1690089 2397767 3546183 5070267 7193301 10638549 21579903 40762039 74330777 122286117 222992331 366858351 668976993 1263623209 3790869627 11372608881