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2642125867626 = 2372107497316889
BaseRepresentation
bin100110011100101010111…
…110010100101001101010
3100100120210021221201002210
4212130222332110221222
5321242033210231001
65341435330505550
7361613225215500
oct46345276245152
910316707851083
102642125867626
11929579199213
1236808a7352b6
131621c781b06b
1491c457a2670
1548adb2a8dd6
hex2672af94a6a

2642125867626 has 96 divisors (see below), whose sum is σ = 6206050249920. Its totient is φ = 747643378944.

The previous prime is 2642125867567. The next prime is 2642125867649. The reversal of 2642125867626 is 6267685212462.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156432190 + ... + 156449078.

It is an arithmetic number, because the mean of its divisors is an integer number (64646356770).

Almost surely, 22642125867626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2642125867626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3103025124960).

2642125867626 is an abundant number, since it is smaller than the sum of its proper divisors (3563924382294).

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

2642125867626 is a wasteful number, since it uses less digits than its factorization.

2642125867626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21988 (or 21981 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 57.

The spelling of 2642125867626 in words is "two trillion, six hundred forty-two billion, one hundred twenty-five million, eight hundred sixty-seven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 107 147 214 294 321 642 749 1498 2247 4494 4973 5243 9946 10486 14919 15729 16889 29838 31458 33778 34811 50667 69622 101334 104433 118223 208866 236446 243677 354669 487354 532111 709338 731031 827561 1064222 1462062 1596333 1655122 1807123 2482683 3192666 3614246 3724777 4965366 5421369 7449554 10842738 11174331 12649861 22348662 25299722 26073439 37949583 52146878 75899166 78220317 83988997 88549027 156440634 167977994 177098054 251966991 265647081 503933982 531294162 587922979 1175845958 1763768937 3527537874 4115460853 8230921706 8986822679 12346382559 17973645358 24692765118 26960468037 53920936074 62907758753 125815517506 188723276259 377446552518 440354311271 880708622542 1321062933813 2642125867626