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19314368736 = 2531331748821
BaseRepresentation
bin10001111111001110…
…011110000011100000
31211212001101120222020
4101333032132003200
5304023434244421
612512313541440
71252425265635
oct217716360340
954761346866
1019314368736
118211504113
1238b0414880
131a8a629770
14d1320c18c
15780985dc6
hex47f39e0e0

19314368736 has 96 divisors (see below), whose sum is σ = 54773597088. Its totient is φ = 5924014080.

The previous prime is 19314368719. The next prime is 19314368753. The reversal of 19314368736 is 63786341391.

It is an interprime number because it is at equal distance from previous prime (19314368719) and next prime (19314368753).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 371206 + ... + 420026.

It is an arithmetic number, because the mean of its divisors is an integer number (570558303).

Almost surely, 219314368736 is an apocalyptic number.

19314368736 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 19314368736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27386798544).

19314368736 is an abundant number, since it is smaller than the sum of its proper divisors (35459228352).

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

19314368736 is a wasteful number, since it uses less digits than its factorization.

19314368736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49164 (or 49156 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 51.

The spelling of 19314368736 in words is "nineteen billion, three hundred fourteen million, three hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 317 416 624 634 951 1248 1268 1902 2536 3804 4121 5072 7608 8242 10144 12363 15216 16484 24726 30432 32968 48821 49452 65936 97642 98904 131872 146463 195284 197808 292926 390568 395616 585852 634673 781136 1171704 1269346 1562272 1904019 2343408 2538692 3808038 4686816 5077384 7616076 10154768 15232152 15476257 20309536 30464304 30952514 46428771 60928608 61905028 92857542 123810056 185715084 201191341 247620112 371430168 402382682 495240224 603574023 742860336 804765364 1207148046 1485720672 1609530728 2414296092 3219061456 4828592184 6438122912 9657184368 19314368736