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19208031864 = 23371573532063
BaseRepresentation
bin10001111000111000…
…110100111001111000
31211120122022010012120
4101320320310321320
5303314224004424
612453554441240
71246664401620
oct217070647170
954518263176
1019208031864
1181674846aa
123880893220
131a715a7838
14d0304b880
1577647da79
hex478e34e78

19208031864 has 128 divisors (see below), whose sum is σ = 55412951040. Its totient is φ = 5434970112.

The previous prime is 19208031847. The next prime is 19208031877. The reversal of 19208031864 is 46813080291.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 9309697 + ... + 9311759.

It is an arithmetic number, because the mean of its divisors is an integer number (432913680).

Almost surely, 219208031864 is an apocalyptic number.

19208031864 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 19208031864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706475520).

19208031864 is an abundant number, since it is smaller than the sum of its proper divisors (36204919176).

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

19208031864 is a wasteful number, since it uses less digits than its factorization.

19208031864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 19208031864 in words is "nineteen billion, two hundred eight million, thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 157 168 314 353 471 628 706 942 1059 1099 1256 1412 1884 2063 2118 2198 2471 2824 3297 3768 4126 4236 4396 4942 6189 6594 7413 8252 8472 8792 9884 12378 13188 14441 14826 16504 19768 24756 26376 28882 29652 43323 49512 55421 57764 59304 86646 110842 115528 166263 173292 221684 323891 332526 346584 387947 443368 647782 665052 728239 775894 971673 1163841 1295564 1330104 1456478 1551788 1943346 2184717 2267237 2327682 2591128 2912956 3103576 3886692 4369434 4534474 4655364 5097673 5825912 6801711 7773384 8738868 9068948 9310728 10195346 13603422 15293019 17477736 18137896 20390692 27206844 30586038 40781384 54413688 61172076 114333523 122344152 228667046 343000569 457334092 686001138 800334661 914668184 1372002276 1600669322 2401003983 2744004552 3201338644 4802007966 6402677288 9604015932 19208031864