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13796460544 = 21137971877
BaseRepresentation
bin11001101100101010…
…10100100000000000
31022121111110210221011
430312111110200000
5211223343214134
610201002010304
7665613660016
oct146625244000
938544423834
1013796460544
11593a819009
1228104a6994
1313bb3b5829
1494c4528b6
1555b32a264
hex336554800

13796460544 has 96 divisors (see below), whose sum is σ = 28639086840. Its totient is φ = 6639058944.

The previous prime is 13796460529. The next prime is 13796460607. The reversal of 13796460544 is 44506469731.

It can be written as a sum of positive squares in 4 ways, for example, as 13575046144 + 221414400 = 116512^2 + 14880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7349334 + ... + 7351210.

Almost surely, 213796460544 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 13796460544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14319543420).

13796460544 is an abundant number, since it is smaller than the sum of its proper divisors (14842626296).

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

13796460544 is an equidigital number, since it uses as much as digits as its factorization.

13796460544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 13796460544 in words is "thirteen billion, seven hundred ninety-six million, four hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 97 128 148 194 256 296 388 512 592 776 1024 1184 1552 1877 2048 2368 3104 3589 3754 4736 6208 7178 7508 9472 12416 14356 15016 18944 24832 28712 30032 37888 49664 57424 60064 69449 75776 99328 114848 120128 138898 182069 198656 229696 240256 277796 364138 459392 480512 555592 728276 918784 961024 1111184 1456552 1837568 1922048 2222368 2913104 3675136 3844096 4444736 5826208 6736553 7350272 8889472 11652416 13473106 17778944 23304832 26946212 35557888 46609664 53892424 71115776 93219328 107784848 142231552 186438656 215569696 372877312 431139392 862278784 1724557568 3449115136 6898230272 13796460544