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19313007984 = 243361972223
BaseRepresentation
bin10001111111001001…
…010001110101110000
31211211221211110101000
4101333021101311300
5304023112223414
612512224442000
71252410600504
oct217711216560
954757743330
1019313007984
118210764826
1238aba79300
131a8a27129a
14d12d76304
157807b7b09
hex47f251d70

19313007984 has 80 divisors (see below), whose sum is σ = 55525811200. Its totient is φ = 6427180224.

The previous prime is 19313007971. The next prime is 19313008019. The reversal of 19313007984 is 48970031391.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231297 + ... + 303519.

It is an arithmetic number, because the mean of its divisors is an integer number (694072640).

Almost surely, 219313007984 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 19313007984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27762905600).

19313007984 is an abundant number, since it is smaller than the sum of its proper divisors (36212803216).

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

19313007984 is a wasteful number, since it uses less digits than its factorization.

19313007984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72859 (or 72847 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 19313007984 in words is "nineteen billion, three hundred thirteen million, seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 619 1238 1857 2476 3714 4952 5571 7428 9904 11142 14856 16713 22284 29712 33426 44568 66852 72223 89136 133704 144446 216669 267408 288892 433338 577784 650007 866676 1155568 1300014 1733352 1950021 2600028 3466704 3900042 5200056 7800084 10400112 15600168 31200336 44706037 89412074 134118111 178824148 268236222 357648296 402354333 536472444 715296592 804708666 1072944888 1207062999 1609417332 2145889776 2414125998 3218834664 4828251996 6437669328 9656503992 19313007984