Search a number
-
+
19413009384 = 23319793471553
BaseRepresentation
bin10010000101000110…
…110000001111101000
31212002221000001111120
4102011012300033220
5304224212300014
612530200055240
71255033566666
oct220506601750
955087001446
1019413009384
11826215730a
123919464520
131aa4bb5602
14d22367c36
1578946cba9
hex4851b03e8

19413009384 has 128 divisors (see below), whose sum is σ = 51916032000. Its totient is φ = 6031494144.

The previous prime is 19413009361. The next prime is 19413009409. The reversal of 19413009384 is 48390031491.

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, 12499552 + ... + 12501104.

It is an arithmetic number, because the mean of its divisors is an integer number (405594000).

Almost surely, 219413009384 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 19413009384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25958016000).

19413009384 is an abundant number, since it is smaller than the sum of its proper divisors (32503022616).

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

19413009384 is a wasteful number, since it uses less digits than its factorization.

19413009384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 19413009384 in words is "nineteen billion, four hundred thirteen million, nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 79 114 152 158 228 237 316 347 456 474 632 694 948 1041 1388 1501 1553 1896 2082 2776 3002 3106 4164 4503 4659 6004 6212 6593 8328 9006 9318 12008 12424 13186 18012 18636 19779 26372 27413 29507 36024 37272 39558 52744 54826 59014 79116 82239 88521 109652 118028 122687 158232 164478 177042 219304 236056 245374 328956 354084 368061 490748 520847 538891 657912 708168 736122 981496 1041694 1077782 1472244 1562541 1616673 2083388 2155564 2331053 2944488 3125082 3233346 4166776 4311128 4662106 6250164 6466692 6993159 9324212 10238929 12500328 12933384 13986318 18648424 20477858 27972636 30716787 40955716 42572389 55945272 61433574 81911432 85144778 122867148 127717167 170289556 245734296 255434334 340579112 510868668 808875391 1021737336 1617750782 2426626173 3235501564 4853252346 6471003128 9706504692 19413009384