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12084237352 = 23112319133121
BaseRepresentation
bin10110100000100011…
…01101010000101000
31011012011121212021101
423100101231100220
5144222031043402
65315035051144
7605313215455
oct132021552050
934164555241
1012084237352
115141267420
122412ba0ab4
1311a7749805
14828ca882c
154aad5eb87
hex2d046d428

12084237352 has 64 divisors (see below), whose sum is σ = 25814194560. Its totient is φ = 5249587200.

The previous prime is 12084237349. The next prime is 12084237391. The reversal of 12084237352 is 25373248021.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3870352 + ... + 3873472.

It is an arithmetic number, because the mean of its divisors is an integer number (403346790).

Almost surely, 212084237352 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 12084237352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907097280).

12084237352 is an abundant number, since it is smaller than the sum of its proper divisors (13729957208).

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

12084237352 is a wasteful number, since it uses less digits than its factorization.

12084237352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5074 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 12084237352 in words is "twelve billion, eighty-four million, two hundred thirty-seven thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1913 2024 3121 3826 6242 7652 12484 15304 21043 24968 34331 42086 43999 68662 71783 84172 87998 137324 143566 168344 175996 274648 287132 351992 483989 574264 789613 967978 1579226 1935956 3158452 3871912 5970473 6316904 11940946 23881892 47763784 65675203 131350406 137320879 262700812 274641758 525401624 549283516 1098567032 1510529669 3021059338 6042118676 12084237352