Search a number
-
+
12031596544608 = 2532314013360661
BaseRepresentation
bin1010111100010101001100…
…0010011100001001100000
31120121012122122112212122100
42233011103002130021200
53034111202203411413
641331123353410400
72351153115140244
oct257052302341140
946535578485570
1012031596544608
11391963164a493
121423979409a00
1369376177aa24
142d849209c424
1515ce81cb4a73
hexaf15309c260

12031596544608 has 144 divisors (see below), whose sum is σ = 35406644337792. Its totient is φ = 3871480320000.

The previous prime is 12031596544603. The next prime is 12031596544633. The reversal of 12031596544608 is 80644569513021.

12031596544608 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 1 + 5 + 96 + 544 + 6 + 0 + 8 = 666.

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 (12031596544603) 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, 1899798 + ... + 5260458.

It is an arithmetic number, because the mean of its divisors is an integer number (245879474568).

Almost surely, 212031596544608 is an apocalyptic number.

12031596544608 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 12031596544608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17703322168896).

12031596544608 is an abundant number, since it is smaller than the sum of its proper divisors (23375047793184).

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

12031596544608 is a wasteful number, since it uses less digits than its factorization.

12031596544608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361109 (or 3361098 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 12031596544608 in words is "twelve trillion, thirty-one billion, five hundred ninety-six million, five hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 401 496 558 744 802 992 1116 1203 1488 1604 2232 2406 2976 3208 3609 4464 4812 6416 7218 8928 9624 12431 12832 14436 19248 24862 28872 37293 38496 49724 57744 74586 99448 111879 115488 149172 198896 223758 298344 397792 447516 596688 895032 1193376 1790064 3360661 3580128 6721322 10081983 13442644 20163966 26885288 30245949 40327932 53770576 60491898 80655864 104180491 107541152 120983796 161311728 208360982 241967592 312541473 322623456 416721964 483935184 625082946 833443928 937624419 967870368 1250165892 1347625061 1666887856 1875248838 2500331784 2695250122 3333775712 3750497676 4042875183 5000663568 5390500244 7500995352 8085750366 10001327136 10781000488 12128625549 15001990704 16171500732 21562000976 24257251098 30003981408 32343001464 41776376891 43124001952 48514502196 64686002928 83552753782 97029004392 125329130673 129372005856 167105507564 194058008784 250658261346 334211015128 375987392019 388116017568 501316522692 668422030256 751974784038 1002633045384 1336844060512 1503949568076 2005266090768 3007899136152 4010532181536 6015798272304 12031596544608