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21184004952 = 23331113996373
BaseRepresentation
bin10011101110101010…
…100100001101011000
32000200100102221201000
4103232222210031120
5321341101124302
613422022425000
71346650033245
oct235652441530
960610387630
1021184004952
118a90900510
124132592160
131cc7a8b896
14104d6505cc
1583eb9731c
hex4eeaa4358

21184004952 has 128 divisors (see below), whose sum is σ = 64249920000. Its totient is φ = 6413800320.

The previous prime is 21184004917. The next prime is 21184004987. The reversal of 21184004952 is 25940048112.

It is an interprime number because it is at equal distance from previous prime (21184004917) and next prime (21184004987).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3320838 + ... + 3327210.

It is an arithmetic number, because the mean of its divisors is an integer number (501952500).

Almost surely, 221184004952 is an apocalyptic number.

21184004952 is a gapful number since it is divisible by the number (22) 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 21184004952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32124960000).

21184004952 is an abundant number, since it is smaller than the sum of its proper divisors (43065915048).

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

21184004952 is a wasteful number, since it uses less digits than its factorization.

21184004952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7798 (or 7788 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21184004952 in words is "twenty-one billion, one hundred eighty-four million, four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 1399 2376 2798 4197 5596 6373 8394 11192 12591 12746 15389 16788 19119 25182 25492 30778 33576 37773 38238 46167 50364 50984 57357 61556 70103 75546 76476 92334 100728 114714 123112 138501 140206 151092 152952 172071 184668 210309 229428 277002 280412 302184 344142 369336 415503 420618 458856 554004 560824 630927 688284 831006 841236 1108008 1261854 1376568 1662012 1682472 1892781 2523708 3324024 3785562 5047416 7571124 8915827 15142248 17831654 26747481 35663308 53494962 71326616 80242443 98074097 106989924 160484886 196148194 213979848 240727329 294222291 320969772 392296388 481454658 588444582 641939544 784592776 882666873 962909316 1176889164 1765333746 1925818632 2353778328 2648000619 3530667492 5296001238 7061334984 10592002476 21184004952