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61628737016294 = 2753241734363921
BaseRepresentation
bin11100000001101000011101…
…11110100101000111100110
322002012122112122102200101022
432000310032332211013212
531034211123134010134
6335023503445131142
715660346361231210
oct1600641676450746
9262178478380338
1061628737016294
111870066742a238
126ab408b3b9ab2
1328507462c2086
141130bbd8255b0
1571d188e8352e
hex380d0efa51e6

61628737016294 has 32 divisors (see below), whose sum is σ = 107687184561216. Its totient is φ = 25903247984640.

The previous prime is 61628737016291. The next prime is 61628737016303. The reversal of 61628737016294 is 49261073782616.

It is a happy number.

61628737016294 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61628737016291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15388547 + ... + 18975374.

It is an arithmetic number, because the mean of its divisors is an integer number (3365224517538).

Almost surely, 261628737016294 is an apocalyptic number.

61628737016294 is a deficient number, since it is larger than the sum of its proper divisors (46058447544922).

61628737016294 is a wasteful number, since it uses less digits than its factorization.

61628737016294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34366400.

The product of its (nonzero) digits is 36578304, while the sum is 62.

The spelling of 61628737016294 in words is "sixty-one trillion, six hundred twenty-eight billion, seven hundred thirty-seven million, sixteen thousand, two hundred ninety-four".

Divisors: 1 2 7 14 53 106 371 742 2417 4834 16919 33838 128101 256202 896707 1793414 34363921 68727842 240547447 481094894 1821287813 3642575626 12749014691 25498029382 83057597057 166115194114 581403179399 1162806358798 4402052644021 8804105288042 30814368508147 61628737016294