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21085473060 = 223251910161043
BaseRepresentation
bin10011101000110010…
…101100100100100100
32000102111001000100200
4103220302230210210
5321140340114220
613404142510500
71344342364251
oct235062544444
960374030320
1021085473060
118a40221aa3
124105595430
131cb05403a2
141040522428
158361d2890
hex4e8cac924

21085473060 has 144 divisors (see below), whose sum is σ = 67993248960. Its totient is φ = 5274028800.

The previous prime is 21085473047. The next prime is 21085473083. The reversal of 21085473060 is 6037458012.

21085473060 is a `hidden beast` number, since 2 + 108 + 547 + 3 + 0 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314899 + ... + 375941.

It is an arithmetic number, because the mean of its divisors is an integer number (472175340).

Almost surely, 221085473060 is an apocalyptic number.

21085473060 is a gapful number since it is divisible by the number (20) 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 21085473060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33996624480).

21085473060 is an abundant number, since it is smaller than the sum of its proper divisors (46907775900).

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

21085473060 is a wasteful number, since it uses less digits than its factorization.

21085473060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61178 (or 61173 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

21085473060 divided by its sum of digits (36) gives a palindrome (585707585).

The spelling of 21085473060 in words is "twenty-one billion, eighty-five million, four hundred seventy-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 101 114 171 180 190 202 228 285 303 342 380 404 505 570 606 684 855 909 1010 1140 1212 1515 1710 1818 1919 2020 3030 3420 3636 3838 4545 5757 6060 7676 9090 9595 11514 17271 18180 19190 23028 28785 34542 38380 57570 61043 69084 86355 115140 122086 172710 183129 244172 305215 345420 366258 549387 610430 732516 915645 1098774 1159817 1220860 1831290 2197548 2319634 2746935 3479451 3662580 4639268 5493870 5799085 6165343 6958902 10438353 10987740 11598170 12330686 13917804 17397255 18496029 20876706 23196340 24661372 30826715 34794510 36992058 41753412 52191765 55488087 61653430 69589020 73984116 92480145 104383530 110976174 117141517 123306860 184960290 208767060 221952348 234283034 277440435 351424551 369920580 468566068 554880870 585707585 702849102 1054273653 1109761740 1171415170 1405698204 1757122755 2108547306 2342830340 3514245510 4217094612 5271368265 7028491020 10542736530 21085473060