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12088110425616 = 24322897332
BaseRepresentation
bin1010111111100111101110…
…0001110010011000010000
31120210121112012101111011100
42233321323201302120100
53041022422232104431
641413111250144400
72355223434200601
oct257717341623020
946717465344140
1012088110425616
1139405a2220775
12143290b882100
13698b99bbb7c4
142db0d3967da8
1515e68d44d4e6
hexafe7b872610

12088110425616 has 45 divisors (see below), whose sum is σ = 33830036912269. Its totient is φ = 4029356234688.

The previous prime is 12088110425561. The next prime is 12088110425617. The reversal of 12088110425616 is 61652401188021.

The square root of 12088110425616 is 3476796.

It is a perfect power (a square), and thus also a powerful number.

12088110425616 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 8 + 1 + 1 + 0 + 4 + 25 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12039928419600 + 48182006016 = 3469860^2 + 219504^2 .

It is a super-2 number, since 2×120881104256162 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12088110425617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 41576686 + ... + 41866418.

Almost surely, 212088110425616 is an apocalyptic number.

12088110425616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12088110425616 is the 3476796-th square number.

It is an amenable number.

12088110425616 is an abundant number, since it is smaller than the sum of its proper divisors (21741926486653).

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

12088110425616 is an frugal number, since it uses more digits than its factorization.

12088110425616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579480 (or 289738 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 12088110425616 in words is "twelve trillion, eighty-eight billion, one hundred ten million, four hundred twenty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 289733 579466 869199 1158932 1738398 2317864 2607597 3476796 4635728 5215194 6953592 10430388 13907184 20860776 41721552 83945211289 167890422578 251835633867 335780845156 503671267734 671561690312 755506901601 1007342535468 1343123380624 1511013803202 2014685070936 3022027606404 4029370141872 6044055212808 12088110425616