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15109799661684 = 223471319911292281
BaseRepresentation
bin1101101111100000011000…
…1111011101000001110100
31222111111000220210010010000
43123320012033131001310
53440024332203133214
652045202433231300
73116434631003250
oct333700617350164
958444026703100
1015109799661684
1148a6036aa7532
121840469402530
13857b040743b0
143a3465229260
151b3091d87809
hexdbe063dd074

15109799661684 has 480 divisors, whose sum is σ = 48924400448000. Its totient is φ = 3959728312320.

The previous prime is 15109799661683. The next prime is 15109799661713. The reversal of 15109799661684 is 48616699790151.

15109799661684 is a `hidden beast` number, since 1 + 510 + 9 + 7 + 9 + 96 + 6 + 16 + 8 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15109799661683) 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 159 ways as a sum of consecutive naturals, for example, 6624198624 + ... + 6624200904.

Almost surely, 215109799661684 is an apocalyptic number.

15109799661684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15109799661684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24462200224000).

15109799661684 is an abundant number, since it is smaller than the sum of its proper divisors (33814600786316).

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

15109799661684 is a wasteful number, since it uses less digits than its factorization.

15109799661684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 72.

The spelling of 15109799661684 in words is "fifteen trillion, one hundred nine billion, seven hundred ninety-nine million, six hundred sixty-one thousand, six hundred eighty-four".