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13045949820784 = 2419163332379229
BaseRepresentation
bin1011110111010111111100…
…1101000110111101110000
31201012011212200012021111201
42331311333031012331300
53202221101123231114
643425120540420544
72514352540545436
oct275657715067560
951164780167451
1013045949820784
11417a8356261a1
121568486247754
137382c65b789a
143315da89cd56
1517954d693874
hexbdd7f346f70

13045949820784 has 80 divisors (see below), whose sum is σ = 26778497673600. Its totient is φ = 6139822664448.

The previous prime is 13045949820767. The next prime is 13045949820791. The reversal of 13045949820784 is 48702894954031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 164621682 + ... + 164700910.

It is an arithmetic number, because the mean of its divisors is an integer number (334731220920).

Almost surely, 213045949820784 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 13045949820784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13389248836800).

13045949820784 is an abundant number, since it is smaller than the sum of its proper divisors (13732547852816).

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

13045949820784 is a wasteful number, since it uses less digits than its factorization.

13045949820784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82742 (or 82736 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 13045949820784 in words is "thirteen trillion, forty-five billion, nine hundred forty-nine million, eight hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 19 38 76 152 163 304 326 652 1304 2608 3097 3323 6194 6646 12388 13292 24776 26584 49552 53168 63137 79229 126274 158458 252548 316916 505096 541649 633832 1010192 1083298 1267664 1505351 2166596 3010702 4333192 6021404 8666384 10291331 12042808 12914327 20582662 24085616 25828654 41165324 51657308 82330648 103314616 164661296 206629232 245372213 263277967 490744426 526555934 981488852 1053111868 1962977704 2106223736 3925955408 4212447472 5002281373 10004562746 20009125492 40018250984 42914308621 80036501968 85828617242 171657234484 343314468968 686628937936 815371863799 1630743727598 3261487455196 6522974910392 13045949820784