Search a number
-
+
12516637500144 = 2433135859213263
BaseRepresentation
bin1011011000100100000110…
…1110110110001011110000
31122022120121222200101122000
42312021001232312023300
53120033033200001034
642342021444414000
72431203642215241
oct266110156661360
948276558611560
1012516637500144
113a96304619418
1214a19846a7300
136ca4106bc1ab
14313b466bccc8
1516a8be4c3599
hexb6241bb62f0

12516637500144 has 80 divisors (see below), whose sum is σ = 35927818329600. Its totient is φ = 4172162226624.

The previous prime is 12516637500127. The next prime is 12516637500181. The reversal of 12516637500144 is 44100573661521.

It is a happy number.

12516637500144 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 6 + 637 + 5 + 0 + 0 + 1 + 4 + 4 = 666.

It is a super-2 number, since 2×125166375001442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12516637500144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58584457 + ... + 58797719.

It is an arithmetic number, because the mean of its divisors is an integer number (449097729120).

Almost surely, 212516637500144 is an apocalyptic number.

It is an amenable number.

12516637500144 is an abundant number, since it is smaller than the sum of its proper divisors (23411180829456).

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

12516637500144 is a wasteful number, since it uses less digits than its factorization.

12516637500144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349139 (or 349127 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 12516637500144 in words is "twelve trillion, five hundred sixteen billion, six hundred thirty-seven million, five hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 135859 213263 271718 407577 426526 543436 639789 815154 853052 1086872 1222731 1279578 1630308 1706104 1919367 2173744 2445462 2559156 3260616 3412208 3668193 3838734 4890924 5118312 5758101 6521232 7336386 7677468 9781848 10236624 11516202 14672772 15354936 19563696 23032404 29345544 30709872 46064808 58691088 92129616 28973697917 57947395834 86921093751 115894791668 173842187502 231789583336 260763281253 347684375004 463579166672 521526562506 695368750008 782289843759 1043053125012 1390737500016 1564579687518 2086106250024 3129159375036 4172212500048 6258318750072 12516637500144