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21367476312 = 23371329337367
BaseRepresentation
bin10011111001100110…
…011101000001011000
32001011010200021002120
4103321212131001120
5322230033220222
613452135101240
71354335360210
oct237146350130
961133607076
1021367476312
119075424236
124183b11820
132026aa9810
141069b6d240
15850d3915c
hex4f999d058

21367476312 has 128 divisors (see below), whose sum is σ = 68013388800. Its totient is φ = 5441038848.

The previous prime is 21367476253. The next prime is 21367476313.

21367476312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×213674763122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21367476313) 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 31 ways as a sum of consecutive naturals, for example, 105348 + ... + 232019.

It is an arithmetic number, because the mean of its divisors is an integer number (531354600).

Almost surely, 221367476312 is an apocalyptic number.

It is an amenable number.

21367476312 is an abundant number, since it is smaller than the sum of its proper divisors (46645912488).

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

21367476312 is a wasteful number, since it uses less digits than its factorization.

21367476312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337425 (or 337421 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The spelling of 21367476312 in words is "twenty-one billion, three hundred sixty-seven million, four hundred seventy-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 52 56 58 78 84 87 91 104 116 156 168 174 182 203 232 273 312 348 364 377 406 546 609 696 728 754 812 1092 1131 1218 1508 1624 2184 2262 2436 2639 3016 4524 4872 5278 7917 9048 10556 15834 21112 31668 63336 337367 674734 1012101 1349468 2024202 2361569 2698936 4048404 4385771 4723138 7084707 8096808 8771542 9446276 9783643 13157313 14169414 17543084 18892552 19567286 26314626 28338828 29350929 30700397 35086168 39134572 52629252 56677656 58701858 61400794 68485501 78269144 92101191 105258504 117403716 122801588 127187359 136971002 184202382 205456503 234807432 245603176 254374718 273942004 368404764 381562077 410913006 508749436 547884008 736809528 763124154 821826012 890311513 1017498872 1526248308 1643652024 1780623026 2670934539 3052496616 3561246052 5341869078 7122492104 10683738156 21367476312