Search a number
-
+
21419725600 = 2552713294227
BaseRepresentation
bin10011111100101101…
…110001001100100000
32001021202222210122101
4103330231301030200
5322331422204400
613501243020144
71355541443410
oct237455611440
961252883571
1021419725600
1190a1970969
12419950a654
132034871960
141072a90640
1585570a56a
hex4fcb71320

21419725600 has 144 divisors (see below), whose sum is σ = 64358255808. Its totient is φ = 6778967040.

The previous prime is 21419725597. The next prime is 21419725619. The reversal of 21419725600 is 652791412.

It is a self number, because there is not a number n which added to its sum of digits gives 21419725600.

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 23 ways as a sum of consecutive naturals, for example, 74314 + ... + 219913.

It is an arithmetic number, because the mean of its divisors is an integer number (446932332).

Almost surely, 221419725600 is an apocalyptic number.

21419725600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21419725600 is an abundant number, since it is smaller than the sum of its proper divisors (42938530208).

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

21419725600 is a wasteful number, since it uses less digits than its factorization.

21419725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294267 (or 294254 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 21419725600 in words is "twenty-one billion, four hundred nineteen million, seven hundred twenty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 50 52 56 65 70 80 91 100 104 112 130 140 160 175 182 200 208 224 260 280 325 350 364 400 416 455 520 560 650 700 728 800 910 1040 1120 1300 1400 1456 1820 2080 2275 2600 2800 2912 3640 4550 5200 5600 7280 9100 10400 14560 18200 36400 72800 294227 588454 1176908 1471135 2059589 2353816 2942270 3824951 4119178 4707632 5884540 7355675 7649902 8238356 9415264 10297945 11769080 14711350 15299804 16476712 19124755 20595890 23538160 26774657 29422700 30599608 32953424 38249510 41191780 47076320 51489725 53549314 58845400 61199216 65906848 76499020 82383560 95623775 102979450 107098628 117690800 122398432 133873285 152998040 164767120 191247550 205958900 214197256 235381600 267746570 305996080 329534240 382495100 411917800 428394512 535493140 611992160 669366425 764990200 823835600 856789024 1070986280 1338732850 1529980400 1647671200 2141972560 2677465700 3059960800 4283945120 5354931400 10709862800 21419725600