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2042162525536 = 257151174134679
BaseRepresentation
bin11101101101111010010…
…111110011010101100000
321020020011211002001210221
4131231322113303111200
5231424322101304121
64202053450132424
7300353456026030
oct35557227632540
97206154061727
102042162525536
11718092563311
1228b950121114
1311a762657133
1470bac3418c0
15381c477cb41
hex1db7a5f3560

2042162525536 has 96 divisors (see below), whose sum is σ = 4628085396480. Its totient is φ = 868891968000.

The previous prime is 2042162525521. The next prime is 2042162525537. The reversal of 2042162525536 is 6355252612402.

It is a junction number, because it is equal to n+sod(n) for n = 2042162525492 and 2042162525501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042162525537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58870245 + ... + 58904923.

It is an arithmetic number, because the mean of its divisors is an integer number (48209222880).

Almost surely, 22042162525536 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 2042162525536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314042698240).

2042162525536 is an abundant number, since it is smaller than the sum of its proper divisors (2585922870944).

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

2042162525536 is a wasteful number, since it uses less digits than its factorization.

2042162525536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36588 (or 36580 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 43.

The spelling of 2042162525536 in words is "two trillion, forty-two billion, one hundred sixty-two million, five hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 151 224 302 604 1057 1208 1741 2114 2416 3482 4228 4832 6964 8456 12187 13928 16912 24374 27856 33824 34679 48748 55712 69358 97496 138716 194992 242753 262891 277432 389984 485506 525782 554864 971012 1051564 1109728 1840237 1942024 2103128 3680474 3884048 4206256 5236529 7360948 7768096 8412512 10473058 14721896 20946116 29443792 36655703 41892232 58887584 60376139 73311406 83784464 120752278 146622812 167568928 241504556 293245624 422632973 483009112 586491248 845265946 966018224 1172982496 1690531892 1932036448 3381063784 6762127568 9116796989 13524255136 18233593978 36467187956 63817578923 72934375912 127635157846 145868751824 255270315692 291737503648 510540631384 1021081262768 2042162525536