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19513019008 = 277101257839
BaseRepresentation
bin10010001011000100…
…010000101010000000
31212100220012001220201
4102023010100222000
5304430313102013
612544131414544
71260356632150
oct221304205200
955326161821
1019513019008
118303654a9a
123946a54454
131abc8305c2
14d3175c760
157931253dd
hex48b110a80

19513019008 has 128 divisors (see below), whose sum is σ = 45095097600. Its totient is φ = 8237875200.

The previous prime is 19513019003. The next prime is 19513019011. The reversal of 19513019008 is 80091031591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (19513019003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23257053 + ... + 23257891.

It is an arithmetic number, because the mean of its divisors is an integer number (352305450).

Almost surely, 219513019008 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 19513019008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22547548800).

19513019008 is an abundant number, since it is smaller than the sum of its proper divisors (25582078592).

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

19513019008 is a wasteful number, since it uses less digits than its factorization.

19513019008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 37.

The spelling of 19513019008 in words is "nineteen billion, five hundred thirteen million, nineteen thousand, eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 101 112 128 202 224 257 404 448 514 707 808 839 896 1028 1414 1616 1678 1799 2056 2828 3232 3356 3598 4112 5656 5873 6464 6712 7196 8224 11312 11746 12928 13424 14392 16448 22624 23492 25957 26848 28784 32896 45248 46984 51914 53696 57568 84739 90496 93968 103828 107392 115136 169478 181699 187936 207656 215623 230272 338956 363398 375872 415312 431246 593173 677912 726796 751744 830624 862492 1186346 1355824 1453592 1509361 1661248 1724984 2372692 2711648 2907184 3018722 3322496 3449968 4745384 5423296 5814368 6037444 6899936 9490768 10846592 11628736 12074888 13799872 18981536 21777923 23257472 24149776 27599744 37963072 43555846 48299552 75926144 87111692 96599104 152445461 174223384 193198208 304890922 348446768 609781844 696893536 1219563688 1393787072 2439127376 2787574144 4878254752 9756509504 19513019008