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19955001856 = 29891932269
BaseRepresentation
bin10010100101011010…
…010010101000000000
31220111200212010101211
4102211122102220000
5311331440024411
613100040535504
71304334500656
oct224532225000
956450763354
1019955001856
118510095279
123a4aa81594
131b6028110a
14d74330dd6
157bbd2d221
hex4a5692a00

19955001856 has 80 divisors (see below), whose sum is σ = 40545786600. Its totient is φ = 9809952768.

The previous prime is 19955001841. The next prime is 19955001887. The reversal of 19955001856 is 65810055991.

It can be written as a sum of positive squares in 4 ways, for example, as 6144051456 + 13810950400 = 78384^2 + 117520^2 .

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, 8793490 + ... + 8795758.

Almost surely, 219955001856 is an apocalyptic number.

19955001856 is a gapful number since it is divisible by the number (16) 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 19955001856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272893300).

19955001856 is an abundant number, since it is smaller than the sum of its proper divisors (20590784744).

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

19955001856 is an equidigital number, since it uses as much as digits as its factorization.

19955001856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 49.

The spelling of 19955001856 in words is "nineteen billion, nine hundred fifty-five million, one thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 89 128 178 193 256 356 386 512 712 772 1424 1544 2269 2848 3088 4538 5696 6176 9076 11392 12352 17177 18152 22784 24704 34354 36304 45568 49408 68708 72608 98816 137416 145216 201941 274832 290432 403882 437917 549664 580864 807764 875834 1099328 1161728 1615528 1751668 2198656 3231056 3503336 4397312 6462112 7006672 8794624 12924224 14013344 25848448 28026688 38974613 51696896 56053376 77949226 103393792 112106752 155898452 224213504 311796904 623593808 1247187616 2494375232 4988750464 9977500928 19955001856