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21780387450 = 23252299916139
BaseRepresentation
bin10100010010001101…
…100101011001111010
32002012220122022200200
4110102031211121322
5324101234344300
614001125143030
71400511144603
oct242215453172
962186568620
1021780387450
119267508508
12427a25aa76
1320914bba33
1410a8934daa
158771ed200
hex51236567a

21780387450 has 72 divisors (see below), whose sum is σ = 58539780000. Its totient is φ = 5805806880.

The previous prime is 21780387449. The next prime is 21780387457. The reversal of 21780387450 is 5478308712.

21780387450 is a `hidden beast` number, since 217 + 8 + 0 + 387 + 4 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 21780387396 and 21780387405.

It is not an unprimeable number, because it can be changed into a prime (21780387457) 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 35 ways as a sum of consecutive naturals, for example, 1341481 + ... + 1357619.

It is an arithmetic number, because the mean of its divisors is an integer number (813052500).

Almost surely, 221780387450 is an apocalyptic number.

21780387450 is an abundant number, since it is smaller than the sum of its proper divisors (36759392550).

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

21780387450 is a wasteful number, since it uses less digits than its factorization.

21780387450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19156 (or 19148 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 21780387450 in words is "twenty-one billion, seven hundred eighty million, three hundred eighty-seven thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 2999 5998 8997 14995 16139 17994 26991 29990 32278 44985 48417 53982 74975 80695 89970 96834 134955 145251 149950 161390 224925 242085 269910 290502 403475 449850 484170 674775 726255 806950 1210425 1349550 1452510 2420850 3631275 7262550 48400861 96801722 145202583 242004305 290405166 435607749 484008610 726012915 871215498 1210021525 1452025830 2178038745 2420043050 3630064575 4356077490 7260129150 10890193725 21780387450