Search a number
-
+
21015198432 = 2532371972147
BaseRepresentation
bin10011100100100110…
…100111101011100000
32000020120210200200200
4103210212213223200
5321014342322212
613353152345200
71342530145044
oct234446475340
960216720620
1021015198432
118a04593698
1240a5b45200
131c9bb06877
14103506c024
1582ee506dc
hex4e49a7ae0

21015198432 has 72 divisors (see below), whose sum is σ = 61377190056. Its totient is φ = 6815736576.

The previous prime is 21015198427. The next prime is 21015198439. The reversal of 21015198432 is 23489151012.

21015198432 is a `hidden beast` number, since 2 + 101 + 519 + 8 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21015198439) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 975418 + ... + 996729.

It is an arithmetic number, because the mean of its divisors is an integer number (852460973).

Almost surely, 221015198432 is an apocalyptic number.

It is an amenable number.

21015198432 is an abundant number, since it is smaller than the sum of its proper divisors (40361991624).

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

21015198432 is a wasteful number, since it uses less digits than its factorization.

21015198432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972200 (or 1972189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 21015198432 in words is "twenty-one billion, fifteen million, one hundred ninety-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 1972147 3944294 5916441 7888588 11832882 15777176 17749323 23665764 31554352 35498646 47331528 63108704 70997292 72969439 94663056 141994584 145938878 189326112 218908317 283989168 291877756 437816634 567978336 583755512 656724951 875633268 1167511024 1313449902 1751266536 2335022048 2626899804 3502533072 5253799608 7005066144 10507599216 21015198432