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19051312640 = 29531123929
BaseRepresentation
bin10001101111100010…
…111111011000000000
31211011201101221211212
4101233202333120000
5303004114001030
612430235425252
71243052325353
oct215742773000
954151357755
1019051312640
118096a73188
1238382b5228
131a47c95479
14cca2d429a
15767823595
hex46f8bf600

19051312640 has 80 divisors (see below), whose sum is σ = 45827290080. Its totient is φ = 7595704320.

The previous prime is 19051312639. The next prime is 19051312649. The reversal of 19051312640 is 4621315091.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 19051312597 and 19051312606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19051312649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 784196 + ... + 808124.

It is an arithmetic number, because the mean of its divisors is an integer number (572841126).

Almost surely, 219051312640 is an apocalyptic number.

19051312640 is a gapful number since it is divisible by the number (10) 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 19051312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22913645040).

19051312640 is an abundant number, since it is smaller than the sum of its proper divisors (26775977440).

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

19051312640 is an equidigital number, since it uses as much as digits as its factorization.

19051312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24263 (or 24247 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 19051312640 in words is "nineteen billion, fifty-one million, three hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 311 320 512 622 640 1244 1280 1555 2488 2560 3110 4976 6220 9952 12440 19904 23929 24880 39808 47858 49760 79616 95716 99520 119645 159232 191432 199040 239290 382864 398080 478580 765728 796160 957160 1531456 1914320 3062912 3828640 6125824 7441919 7657280 12251648 14883838 15314560 29767676 30629120 37209595 59535352 61258240 74419190 119070704 148838380 238141408 297676760 476282816 595353520 952565632 1190707040 1905131264 2381414080 3810262528 4762828160 9525656320 19051312640