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19434377872 = 2471337715081
BaseRepresentation
bin10010000110011000…
…010001001010010000
31212011102012200120001
4102012120101022100
5304300200042442
612532242055344
71255413325540
oct220630211220
955142180501
1019434377872
118273221818
12392464a554
131aa94578a0
14d2512b320
1578b28e2b7
hex486611290

19434377872 has 160 divisors (see below), whose sum is σ = 48275910144. Its totient is φ = 7373721600.

The previous prime is 19434377843. The next prime is 19434377881. The reversal of 19434377872 is 27877343491.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3822372 + ... + 3827452.

Almost surely, 219434377872 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 19434377872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24137955072).

19434377872 is an abundant number, since it is smaller than the sum of its proper divisors (28841532272).

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

19434377872 is a wasteful number, since it uses less digits than its factorization.

19434377872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5211 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 55.

The spelling of 19434377872 in words is "nineteen billion, four hundred thirty-four million, three hundred seventy-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 71 74 91 104 112 142 148 182 208 259 284 296 364 481 497 518 568 592 728 923 962 994 1036 1136 1456 1846 1924 1988 2072 2627 3367 3692 3848 3976 4144 5081 5254 6461 6734 7384 7696 7952 10162 10508 12922 13468 14768 18389 20324 21016 25844 26936 34151 35567 36778 40648 42032 51688 53872 66053 68302 71134 73556 81296 103376 132106 136604 142268 147112 187997 239057 264212 273208 284536 294224 360751 375994 462371 478114 528424 546416 569072 721502 751988 924742 956228 1056848 1315979 1443004 1503976 1849484 1912456 2443961 2525257 2631958 2886008 3007952 3698968 3824912 4689763 4887922 5050514 5263916 5772016 7397936 9379526 9775844 10101028 10527832 13347787 17107727 18759052 19551688 20202056 21055664 26695574 32828341 34215454 37518104 39103376 40404112 53391148 65656682 68430908 75036208 93434509 106782296 131313364 136861816 173521231 186869018 213564592 262626728 273723632 347042462 373738036 525253456 694084924 747476072 1214648617 1388169848 1494952144 2429297234 2776339696 4858594468 9717188936 19434377872