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21281712816 = 2437134872187
BaseRepresentation
bin10011110100011111…
…010010101010110000
32000221011022000200210
4103310133102222300
5322041104302231
613435432544120
71352244400650
oct236437225260
960834260623
1021281712816
119030a76911
12415b252040
1320120abca0
14105c606360
15848547a46
hex4f47d2ab0

21281712816 has 80 divisors (see below), whose sum is σ = 67664946944. Its totient is φ = 5612758272.

The previous prime is 21281712811. The next prime is 21281712817. The reversal of 21281712816 is 61821718212.

It is a super-2 number, since 2×212817128162 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21281712811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2431726 + ... + 2440461.

Almost surely, 221281712816 is an apocalyptic number.

21281712816 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

21281712816 is an abundant number, since it is smaller than the sum of its proper divisors (46383234128).

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

21281712816 is a wasteful number, since it uses less digits than its factorization.

21281712816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4872218 (or 4872212 counting only the distinct ones).

The product of its digits is 21504, while the sum is 39.

The spelling of 21281712816 in words is "twenty-one billion, two hundred eighty-one million, seven hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 4872187 9744374 14616561 19488748 29233122 34105309 38977496 58466244 63338431 68210618 77954992 102315927 116932488 126676862 136421236 190015293 204631854 233864976 253353724 272842472 380030586 409263708 443369017 506707448 545684944 760061172 818527416 886738034 1013414896 1330107051 1520122344 1637054832 1773476068 2660214102 3040244688 3546952136 5320428204 7093904272 10640856408 21281712816