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21913676460 = 223251329573167
BaseRepresentation
bin10100011010001010…
…000010101010101100
32002120012110002211200
4110122022002222230
5324334400121320
614022250045500
71404020114364
oct243212025254
962505402750
1021913676460
119325776515
1242b6a19890
1320b2cb9580
1410bc50d9a4
15883c7b290
hex51a282aac

21913676460 has 144 divisors (see below), whose sum is σ = 71631495936. Its totient is φ = 5390608896.

The previous prime is 21913676453. The next prime is 21913676461. The reversal of 21913676460 is 6467631912.

21913676460 is a `hidden beast` number, since 2 + 1 + 91 + 36 + 76 + 460 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21913676461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6917797 + ... + 6920963.

It is an arithmetic number, because the mean of its divisors is an integer number (497440944).

Almost surely, 221913676460 is an apocalyptic number.

21913676460 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 21913676460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35815747968).

21913676460 is an abundant number, since it is smaller than the sum of its proper divisors (49717819476).

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

21913676460 is a wasteful number, since it uses less digits than its factorization.

21913676460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6147 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 21913676460 in words is "twenty-one billion, nine hundred thirteen million, six hundred seventy-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 2957 3167 5914 6334 8871 9501 11828 12668 14785 15835 17742 19002 26613 28503 29570 31670 35484 38004 38441 41171 44355 47505 53226 57006 59140 63340 76882 82342 88710 95010 106452 114012 115323 123513 133065 142515 153764 164684 177420 190020 192205 205855 230646 247026 266130 285030 345969 370539 384410 411710 461292 494052 532260 570060 576615 617565 691938 741078 768820 823420 1153230 1235130 1383876 1482156 1729845 1852695 2306460 2470260 3459690 3705390 6919380 7410780 9364819 18729638 28094457 37459276 46824095 56188914 84283371 93648190 112377828 121742647 140472285 168566742 187296380 243485294 280944570 337133484 365227941 421416855 486970588 561889140 608713235 730455882 842833710 1095683823 1217426470 1460911764 1685667420 1826139705 2191367646 2434852940 3652279410 4382735292 5478419115 7304558820 10956838230 21913676460