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19330298136 = 23377431487
BaseRepresentation
bin10010000000001011…
…001111000100011000
31211220011100220000000
4102000023033010120
5304042024020021
612514043213000
71253010552222
oct220013170430
954804326000
1019330298136
11821a4a4106
1238b5817160
131a90a16146
14d15397412
15782080b26
hex4802cf118

19330298136 has 128 divisors (see below), whose sum is σ = 54467942400. Its totient is φ = 6430433184.

The previous prime is 19330298123. The next prime is 19330298173. The reversal of 19330298136 is 63189203391.

19330298136 is a `hidden beast` number, since 19 + 330 + 298 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19330298091 and 19330298100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12998785 + ... + 13000271.

It is an arithmetic number, because the mean of its divisors is an integer number (425530800).

Almost surely, 219330298136 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 19330298136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27233971200).

19330298136 is an abundant number, since it is smaller than the sum of its proper divisors (35137644264).

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

19330298136 is an equidigital number, since it uses as much as digits as its factorization.

19330298136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2257 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 19330298136 in words is "nineteen billion, three hundred thirty million, two hundred ninety-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 743 972 1458 1486 1487 1944 2187 2229 2916 2972 2974 4374 4458 4461 5832 5944 5948 6687 8748 8916 8922 11896 13374 13383 17496 17832 17844 20061 26748 26766 35688 40122 40149 53496 53532 60183 80244 80298 107064 120366 120447 160488 160596 180549 240732 240894 321192 361098 361341 481464 481788 541647 722196 722682 963576 1083294 1084023 1104841 1444392 1445364 1624941 2166588 2168046 2209682 2890728 3249882 3252069 3314523 4333176 4336092 4419364 6499764 6504138 6629046 8672184 8838728 9943569 12999528 13008276 13258092 19887138 26016552 26516184 29830707 39774276 59661414 79548552 89492121 119322828 178984242 238645656 268476363 357968484 536952726 715936968 805429089 1073905452 1610858178 2147810904 2416287267 3221716356 4832574534 6443432712 9665149068 19330298136