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613631138472 = 2332112213350107
BaseRepresentation
bin10001110110111110100…
…01000001101010101000
32011122220000020122011200
420323133101001222220
540023204032412342
61145522004524200
762222231421342
oct10733721015250
92148800218150
10613631138472
1121726a8646a0
129ab139b0660
1345b32a0b011
14219b2780292
1510e668dd94c
hex8edf441aa8

613631138472 has 96 divisors (see below), whose sum is σ = 1813825522080. Its totient is φ = 185864273280.

The previous prime is 613631138401. The next prime is 613631138513. The reversal of 613631138472 is 274831136316.

613631138472 is a `hidden beast` number, since 6 + 1 + 3 + 63 + 113 + 8 + 472 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577643 + ... + 1927749.

It is an arithmetic number, because the mean of its divisors is an integer number (18894015855).

Almost surely, 2613631138472 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 613631138472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906912761040).

613631138472 is an abundant number, since it is smaller than the sum of its proper divisors (1200194383608).

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

613631138472 is a wasteful number, since it uses less digits than its factorization.

613631138472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352343 (or 352336 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 613631138472 in words is "six hundred thirteen billion, six hundred thirty-one million, one hundred thirty-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2213 4426 6639 8852 13278 17704 19917 24343 26556 39834 48686 53112 73029 79668 97372 146058 159336 194744 219087 292116 350107 438174 584232 700214 876348 1050321 1400428 1752696 2100642 2800856 3150963 3851177 4201284 6301926 7702354 8402568 11553531 12603852 15404708 23107062 25207704 30809416 34660593 46214124 69321186 92428248 138642372 277284744 774786791 1549573582 2324360373 3099147164 4648720746 6198294328 6973081119 8522654701 9297441492 13946162238 17045309402 18594882984 25567964103 27892324476 34090618804 51135928206 55784648952 68181237608 76703892309 102271856412 153407784618 204543712824 306815569236 613631138472