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37620434514 = 23137315742083
BaseRepresentation
bin100011000010010110…
…100100011001010010
310121002211111002022110
4203002112210121102
51104021312401024
625141012250150
72501161263045
oct430226443122
9117084432273
1037620434514
1114a558332a3
12735b010956
13371709ca50
141b6c54ac5c
15ea2b4a629
hex8c25a4652

37620434514 has 64 divisors (see below), whose sum is σ = 82663749504. Its totient is φ = 11343960576.

The previous prime is 37620434503. The next prime is 37620434543. The reversal of 37620434514 is 41543402673.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 872917 + ... + 914999.

It is an arithmetic number, because the mean of its divisors is an integer number (1291621086).

Almost surely, 237620434514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37620434514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41331874752).

37620434514 is an abundant number, since it is smaller than the sum of its proper divisors (45043314990).

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

37620434514 is a wasteful number, since it uses less digits than its factorization.

37620434514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42331.

The product of its (nonzero) digits is 241920, while the sum is 39.

The spelling of 37620434514 in words is "thirty-seven billion, six hundred twenty million, four hundred thirty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 13 26 39 73 78 146 157 219 314 438 471 942 949 1898 2041 2847 4082 5694 6123 11461 12246 22922 34383 42083 68766 84166 126249 148993 252498 297986 446979 547079 893958 1094158 1641237 3072059 3282474 6144118 6607031 9216177 13214062 18432354 19821093 39642186 39936767 79873534 85891403 119810301 171782806 239620602 257674209 482313263 515348418 964626526 1446939789 2893879578 6270072419 12540144838 18810217257 37620434514