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19346048512 = 29723376343
BaseRepresentation
bin10010000001000111…
…010100011000000000
31211221021000002110021
4102001013110120000
5304110042023022
612515404543224
71253261461540
oct220107243000
954837002407
1019346048512
11822838164a
1238bab51b14
131a9406c1ab
14d174d7320
157836427c7
hex4811d4600

19346048512 has 160 divisors (see below), whose sum is σ = 47350397952. Its totient is φ = 7715119104.

The previous prime is 19346048479. The next prime is 19346048537. The reversal of 19346048512 is 21584064391.

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, 3046813 + ... + 3053155.

Almost surely, 219346048512 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 19346048512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23675198976).

19346048512 is an abundant number, since it is smaller than the sum of its proper divisors (28004349440).

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

19346048512 is an equidigital number, since it uses as much as digits as its factorization.

19346048512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6428 (or 6412 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 19346048512 in words is "nineteen billion, three hundred forty-six million, forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 64 74 92 112 128 148 161 184 224 256 259 296 322 368 448 512 518 592 644 736 851 896 1036 1184 1288 1472 1702 1792 2072 2368 2576 2944 3404 3584 4144 4736 5152 5888 5957 6343 6808 8288 9472 10304 11776 11914 12686 13616 16576 18944 20608 23828 25372 27232 33152 41216 44401 47656 50744 54464 66304 82432 88802 95312 101488 108928 132608 145889 177604 190624 202976 217856 234691 291778 355208 381248 405952 435712 469382 583556 710416 762496 811904 938764 1021223 1167112 1420832 1524992 1623808 1642837 1877528 2042446 2334224 2841664 3049984 3247616 3285674 3755056 4084892 4668448 5397893 5683328 6571348 7510112 8169784 9336896 10795786 11366656 13142696 15020224 16339568 18673792 21591572 22733312 26285392 30040448 32679136 37347584 37785251 43183144 52570784 60080896 65358272 74695168 75570502 86366288 105141568 120161792 130716544 151141004 172732576 210283136 261433088 302282008 345465152 420566272 522866176 604564016 690930304 841132544 1209128032 1381860608 2418256064 2763721216 4836512128 9673024256 19346048512