Search a number
-
+
12555524542000 = 2453112812030981
BaseRepresentation
bin1011011010110100111110…
…0101001000111000110000
31122110022000002111210120111
42312231033211020320300
53121202203240321000
642411532304551104
72434051413503146
oct266551745107060
948408002453514
1012555524542000
11400084a311540
1214a9417922494
13700c9a00492b
14315995137596
1516b8e8414cba
hexb6b4f948e30

12555524542000 has 160 divisors (see below), whose sum is σ = 33237069173568. Its totient is φ = 4549395200000.

The previous prime is 12555524541977. The next prime is 12555524542007. The reversal of 12555524542000 is 24542555521.

12555524542000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (12555524542007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5166510 + ... + 7197490.

Almost surely, 212555524542000 is an apocalyptic number.

12555524542000 is a gapful number since it is divisible by the number (10) 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 12555524542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16618534586784).

12555524542000 is an abundant number, since it is smaller than the sum of its proper divisors (20681544631568).

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

12555524542000 is a wasteful number, since it uses less digits than its factorization.

12555524542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031296 (or 2031280 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 40.

The spelling of 12555524542000 in words is "twelve trillion, five hundred fifty-five billion, five hundred twenty-four million, five hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 281 400 440 500 550 562 880 1000 1100 1124 1375 1405 2000 2200 2248 2750 2810 3091 4400 4496 5500 5620 6182 7025 11000 11240 12364 14050 15455 22000 22480 24728 28100 30910 35125 49456 56200 61820 70250 77275 112400 123640 140500 154550 247280 281000 309100 386375 562000 618200 772750 1236400 1545500 2030981 3091000 4061962 6182000 8123924 10154905 16247848 20309810 22340791 32495696 40619620 44681582 50774525 81239240 89363164 101549050 111703955 162478480 178726328 203098100 223407910 253872625 357452656 406196200 446815820 507745250 558519775 570705661 812392400 893631640 1015490500 1117039550 1141411322 1787263280 2030981000 2234079100 2282822644 2792598875 2853528305 4061962000 4468158200 4565645288 5585197750 5707056610 6277762271 8936316400 9131290576 11170395500 11414113220 12555524542 14267641525 22340791000 22828226440 25111049084 28535283050 31388811355 44681582000 45656452880 50222098168 57070566100 62777622710 71338207625 100444196336 114141132200 125555245420 142676415250 156944056775 228282264400 251110490840 285352830500 313888113550 502220981680 570705661000 627776227100 784720283875 1141411322000 1255552454200 1569440567750 2511104908400 3138881135500 6277762271000 12555524542000