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1919125104 = 24313171131601
BaseRepresentation
bin111001001100011…
…1000011001110000
311221202011122201120
41302120320121300
512412244000404
6514233302240
765362202631
oct16230703160
94852148646
101919125104
118a5329106
12456864980
1324779b9b0
14142c45888
15b37399d9
hex72638670

1919125104 has 160 divisors (see below), whose sum is σ = 5706759744. Its totient is φ = 550502400.

The previous prime is 1919125099. The next prime is 1919125123. The reversal of 1919125104 is 4015219191.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197904 + ... + 1199504.

Almost surely, 21919125104 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 1919125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853379872).

1919125104 is an abundant number, since it is smaller than the sum of its proper divisors (3787634640).

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

1919125104 is a wasteful number, since it uses less digits than its factorization.

1919125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 33.

The square root of 1919125104 is about 43807.8201238089. The cubic root of 1919125104 is about 1242.7041886098.

The spelling of 1919125104 in words is "one billion, nine hundred nineteen million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 68 78 102 104 113 136 156 204 208 221 226 272 312 339 408 442 452 624 663 678 816 884 904 1326 1356 1469 1601 1768 1808 1921 2652 2712 2938 3202 3536 3842 4407 4803 5304 5424 5763 5876 6404 7684 8814 9606 10608 11526 11752 12808 15368 17628 19212 20813 23052 23504 24973 25616 27217 30736 35256 38424 41626 46104 49946 54434 62439 70512 74919 76848 81651 83252 92208 99892 108868 124878 149838 163302 166504 180913 199784 217736 249756 299676 326604 333008 353821 361826 399568 435472 499512 542739 599352 653208 707642 723652 999024 1061463 1085478 1198704 1306416 1415284 1447304 2122926 2170956 2351869 2830568 2894608 3075521 4245852 4341912 4703738 5661136 6151042 7055607 8491704 8683824 9226563 9407476 12302084 14111214 16983408 18453126 18814952 24604168 28222428 36906252 37629904 39981773 49208336 56444856 73812504 79963546 112889712 119945319 147625008 159927092 239890638 319854184 479781276 639708368 959562552 1919125104