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21287020716 = 223213223203969
BaseRepresentation
bin10011110100110011…
…100010100010101100
32000221112021200202200
4103310303202202230
5322043434130331
613440142421500
71352340455613
oct236463424254
960845250680
1021287020716
119033a71805
124160b91890
132013219c60
14105d1c887a
15848c455e6
hex4f4ce28ac

21287020716 has 72 divisors (see below), whose sum is σ = 58208142720. Its totient is φ = 6520449024.

The previous prime is 21287020673. The next prime is 21287020721. The reversal of 21287020716 is 61702078212.

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

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, 2380 + ... + 206348.

Almost surely, 221287020716 is an apocalyptic number.

21287020716 is a gapful number since it is divisible by the number (26) 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 21287020716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29104071360).

21287020716 is an abundant number, since it is smaller than the sum of its proper divisors (36921122004).

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

21287020716 is a wasteful number, since it uses less digits than its factorization.

21287020716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204215 (or 204210 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 21287020716 its reverse (61702078212), we get a palindrome (82989098928).

It can be divided in two parts, 212870 and 20716, that added together give a triangular number (233586 = T683).

The spelling of 21287020716 in words is "twenty-one billion, two hundred eighty-seven million, twenty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 223 234 446 468 669 892 1338 2007 2676 2899 4014 5798 8028 8697 11596 17394 26091 34788 52182 104364 203969 407938 611907 815876 1223814 1835721 2447628 2651597 3671442 5303194 7342884 7954791 10606388 15909582 23864373 31819164 45485087 47728746 90970174 95457492 136455261 181940348 272910522 409365783 545821044 591306131 818731566 1182612262 1637463132 1773918393 2365224524 3547836786 5321755179 7095673572 10643510358 21287020716