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19031270144 = 28232891579
BaseRepresentation
bin10001101110010110…
…100010001100000000
31211010022200200201012
4101232112202030000
5302434001121034
612424242100052
71242420061415
oct215626421400
954108620635
1019031270144
118086723a37
12383164a628
131a43a988c3
14cc779810c
15765bb4cce
hex46e5a2300

19031270144 has 108 divisors (see below), whose sum is σ = 40183302600. Its totient is φ = 8993943552.

The previous prime is 19031270053. The next prime is 19031270179. The reversal of 19031270144 is 44107213091.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 19031270144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12051947 + ... + 12053525.

Almost surely, 219031270144 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 19031270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20091651300).

19031270144 is an abundant number, since it is smaller than the sum of its proper divisors (21152032456).

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

19031270144 is an equidigital number, since it uses as much as digits as its factorization.

19031270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 19031270144 in words is "nineteen billion, thirty-one million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 32 46 64 89 92 128 178 184 256 356 368 529 712 736 1058 1424 1472 1579 2047 2116 2848 2944 3158 4094 4232 5696 5888 6316 8188 8464 11392 12632 16376 16928 22784 25264 32752 33856 36317 47081 50528 65504 67712 72634 94162 101056 131008 135424 140531 145268 188324 202112 262016 281062 290536 376648 404224 524032 562124 581072 753296 835291 1124248 1162144 1506592 1670582 2248496 2324288 3013184 3232213 3341164 4496992 4648576 6026368 6464426 6682328 8993984 9297152 12052736 12928852 13364656 17987968 25857704 26729312 35975936 51715408 53458624 74340899 103430816 106917248 148681798 206861632 213834496 297363596 413723264 594727192 827446528 1189454384 2378908768 4757817536 9515635072 19031270144