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1016604443124 = 2233531451122401
BaseRepresentation
bin11101100101100100101…
…10001100000111110100
310121012000220121112101000
432302302112030013310
5113124001214134444
62055004401203300
7133306256122134
oct16626226140764
93535026545330
101016604443124
11362159783866
12145036930530
1374b33344b0a
14372bd79aac4
151b69e356469
hexecb258c1f4

1016604443124 has 96 divisors (see below), whose sum is σ = 2687242884480. Its totient is φ = 332242560000.

The previous prime is 1016604443093. The next prime is 1016604443189. The reversal of 1016604443124 is 4213444066101.

1016604443124 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 604 + 4 + 43 + 1 + 2 + 4 = 666.

1016604443124 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8244324 + ... + 8366724.

It is an arithmetic number, because the mean of its divisors is an integer number (27992113380).

Almost surely, 21016604443124 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 1016604443124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343621442240).

1016604443124 is an abundant number, since it is smaller than the sum of its proper divisors (1670638441356).

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

1016604443124 is a wasteful number, since it uses less digits than its factorization.

1016604443124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123918 (or 123910 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1016604443124 in words is "one trillion, sixteen billion, six hundred four million, four hundred forty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1451 1908 2862 2902 4353 5724 5804 8706 13059 17412 26118 39177 52236 76903 78354 122401 153806 156708 230709 244802 307612 367203 461418 489604 692127 734406 922836 1101609 1384254 1468812 2076381 2203218 2768508 3304827 4152762 4406436 6487253 6609654 8305524 12974506 13219308 19461759 25949012 38923518 58385277 77847036 116770554 175155831 177603851 233541108 350311662 355207702 532811553 700623324 710415404 1065623106 1598434659 2131246212 3196869318 4795303977 6393738636 9413004103 9590607954 18826008206 19181215908 28239012309 37652016412 56478024618 84717036927 112956049236 169434073854 254151110781 338868147708 508302221562 1016604443124