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12093365088 = 2532710159393
BaseRepresentation
bin10110100001101001…
…00001101101100000
31011012210210121011200
423100310201231200
5144231400140323
65320002441200
7605453623110
oct132064415540
934183717150
1012093365088
115146431202
122416063200
1311a95c433c
1482a1a3040
154aba64443
hex2d0d21b60

12093365088 has 144 divisors (see below), whose sum is σ = 39693247776. Its totient is φ = 3420979200.

The previous prime is 12093365083. The next prime is 12093365093. The reversal of 12093365088 is 88056339021.

It is a happy number.

12093365088 is a `hidden beast` number, since 1 + 20 + 93 + 36 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12093365083) and next prime (12093365093).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12093365083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173920 + ... + 233312.

It is an arithmetic number, because the mean of its divisors is an integer number (275647554).

Almost surely, 212093365088 is an apocalyptic number.

12093365088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12093365088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19846623888).

12093365088 is an abundant number, since it is smaller than the sum of its proper divisors (27599882688).

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

12093365088 is a wasteful number, since it uses less digits than its factorization.

12093365088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59517 (or 59506 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 12093365088 in words is "twelve billion, ninety-three million, three hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 288 303 336 404 504 606 672 707 808 909 1008 1212 1414 1616 1818 2016 2121 2424 2828 3232 3636 4242 4848 5656 6363 7272 8484 9696 11312 12726 14544 16968 22624 25452 29088 33936 50904 59393 67872 101808 118786 178179 203616 237572 356358 415751 475144 534537 712716 831502 950288 1069074 1247253 1425432 1663004 1900576 2138148 2494506 2850864 3326008 3741759 4276296 4989012 5701728 5998693 6652016 7483518 8552592 9978024 11997386 13304032 14967036 17105184 17996079 19956048 23994772 29934072 35992158 39912096 41990851 47989544 53988237 59868144 71984316 83981702 95979088 107976474 119736288 125972553 143968632 167963404 191958176 215952948 251945106 287937264 335926808 377917659 431905896 503890212 575874528 671853616 755835318 863811792 1007780424 1343707232 1511670636 1727623584 2015560848 3023341272 4031121696 6046682544 12093365088