Search a number
-
+
15321495265944 = 233732200384589
BaseRepresentation
bin1101111011110101000001…
…0010000110001010011000
32000020201110100102001111120
43132331100102012022120
54002011410242002234
652330333040525240
73140640635646000
oct336752022061230
960221410361446
1015321495265944
11497789a71327a
1218754a9920820
13871a7044b55a
143ad7c872d000
151b8831ea1049
hexdef50486298

15321495265944 has 128 divisors (see below), whose sum is σ = 44671640640000. Its totient is φ = 4377319373952.

The previous prime is 15321495265907. The next prime is 15321495265957. The reversal of 15321495265944 is 44956259412351.

It is a super-2 number, since 2×153214952659442 (a number of 27 digits) contains 22 as substring.

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, 181086402 + ... + 181170990.

It is an arithmetic number, because the mean of its divisors is an integer number (348997192500).

Almost surely, 215321495265944 is an apocalyptic number.

15321495265944 is a gapful number since it is divisible by the number (14) 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 15321495265944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22335820320000).

15321495265944 is an abundant number, since it is smaller than the sum of its proper divisors (29350145374056).

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

15321495265944 is a wasteful number, since it uses less digits than its factorization.

15321495265944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106622 (or 106604 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 60.

The spelling of 15321495265944 in words is "fifteen trillion, three hundred twenty-one billion, four hundred ninety-five million, two hundred sixty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 22003 44006 66009 84589 88012 132018 154021 169178 176024 253767 264036 308042 338356 462063 507534 528072 592123 616084 676712 924126 1015068 1078147 1184246 1232168 1776369 1848252 2030136 2156294 2368492 3234441 3552738 3696504 4144861 4312588 4736984 6468882 7105476 7547029 8289722 8625176 12434583 12937764 14210952 15094058 16579444 22641087 24869166 25875528 29014027 30188116 33158888 45282174 49738332 58028054 60376232 87042081 90564348 99476664 116056108 174084162 181128696 232112216 348168324 696336648 1861211767 3722423534 5583635301 7444847068 11167270602 13028482369 14889694136 22334541204 26056964738 39085447107 44669082408 52113929476 78170894214 91199376583 104227858952 156341788428 182398753166 273598129749 312683576856 364797506332 547196259498 638395636081 729595012664 1094392518996 1276791272162 1915186908243 2188785037992 2553582544324 3830373816486 5107165088648 7660747632972 15321495265944