Search a number
-
+
15889014320 = 2451492415531
BaseRepresentation
bin11101100110000111…
…10001111000110000
31112000022222120001212
432303003301320300
5230020041424240
611144352415252
71101513251624
oct166303617060
945008876055
1015889014320
116813a306a3
1230b5247528
131662a9732a
14aaa321184
1562edc1165
hex3b30f1e30

15889014320 has 80 divisors (see below), whose sum is σ = 37350957600. Its totient is φ = 6285619200.

The previous prime is 15889014313. The next prime is 15889014343. The reversal of 15889014320 is 2341098851.

15889014320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×158890143202 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2869955 + ... + 2875485.

It is an arithmetic number, because the mean of its divisors is an integer number (466886970).

Almost surely, 215889014320 is an apocalyptic number.

15889014320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15889014320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18675478800).

15889014320 is an abundant number, since it is smaller than the sum of its proper divisors (21461943280).

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

15889014320 is a wasteful number, since it uses less digits than its factorization.

15889014320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5934 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 15889014320 in words is "fifteen billion, eight hundred eighty-nine million, fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 241 298 482 596 745 964 1192 1205 1490 1928 2384 2410 2980 3856 4820 5531 5960 9640 11062 11920 19280 22124 27655 35909 44248 55310 71818 88496 110620 143636 179545 221240 287272 359090 442480 574544 718180 824119 1332971 1436360 1648238 2665942 2872720 3296476 4120595 5331884 6592952 6664855 8241190 10663768 13185904 13329710 16482380 21327536 26659420 32964760 53318840 65929520 106637680 198612679 397225358 794450716 993063395 1588901432 1986126790 3177802864 3972253580 7944507160 15889014320