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21116535104 = 267226325603
BaseRepresentation
bin10011101010101001…
…001100000101000000
32000111122111010110202
4103222221030011000
5321221313110404
613411212344332
71345200405200
oct235251140500
960448433422
1021116535104
118a56808405
124113a750a8
131cb6ac78b2
1410446ca400
15838cbb21e
hex4eaa4c140

21116535104 has 84 divisors (see below), whose sum is σ = 48931701984. Its totient is φ = 9015181056.

The previous prime is 21116535101. The next prime is 21116535131. The reversal of 21116535104 is 40153561112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21116535101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 811967 + ... + 837569.

Almost surely, 221116535104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21116535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24465850992).

21116535104 is an abundant number, since it is smaller than the sum of its proper divisors (27815166880).

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

21116535104 is a wasteful number, since it uses less digits than its factorization.

21116535104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25892 (or 25875 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 21116535104 in words is "twenty-one billion, one hundred sixteen million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 263 392 448 526 784 1052 1568 1841 2104 3136 3682 4208 7364 8416 12887 14728 16832 25603 25774 29456 51206 51548 58912 102412 103096 117824 179221 204824 206192 358442 409648 412384 716884 819296 824768 1254547 1433768 1638592 2509094 2867536 5018188 5735072 6733589 10036376 11470144 13467178 20072752 26934356 40145504 47135123 53868712 80291008 94270246 107737424 188540492 215474848 329945861 377080984 430949696 659891722 754161968 1319783444 1508323936 2639566888 3016647872 5279133776 10558267552 21116535104