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12092938792608 = 2533718671823537
BaseRepresentation
bin1010111111111001101101…
…0100100010111010100000
31120211001222200210221111110
42233332123110202322200
53041112314312330413
641415230330543320
72355454203505362
oct257763324427240
946731880727443
1012092938792608
11394264a760313
121433838897b40
136994893159ab
142db430d0cd32
1515e8722a08c3
hexaff9b522ea0

12092938792608 has 96 divisors (see below), whose sum is σ = 32619389390784. Its totient is φ = 3919931338752.

The previous prime is 12092938792603. The next prime is 12092938792643. The reversal of 12092938792608 is 80629783929021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (12092938792603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5719816 + ... + 7543352.

It is an arithmetic number, because the mean of its divisors is an integer number (339785306154).

Almost surely, 212092938792608 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 12092938792608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16309694695392).

12092938792608 is an abundant number, since it is smaller than the sum of its proper divisors (20526450598176).

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

12092938792608 is a wasteful number, since it uses less digits than its factorization.

12092938792608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825454 (or 1825446 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 66.

The spelling of 12092938792608 in words is "twelve trillion, ninety-two billion, nine hundred thirty-eight million, seven hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 1867 3552 3734 5601 7468 11202 14936 22404 29872 44808 59744 69079 89616 138158 179232 207237 276316 414474 552632 828948 1105264 1657896 1823537 2210528 3315792 3647074 5470611 6631584 7294148 10941222 14588296 21882444 29176592 43764888 58353184 67470869 87529776 134941738 175059552 202412607 269883476 404825214 539766952 809650428 1079533904 1619300856 2159067808 3238601712 3404543579 6477203424 6809087158 10213630737 13618174316 20427261474 27236348632 40854522948 54472697264 81709045896 108945394528 125968112423 163418091792 251936224846 326836183584 377904337269 503872449692 755808674538 1007744899384 1511617349076 2015489798768 3023234698152 4030979597536 6046469396304 12092938792608