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21111693616 = 241331274729
BaseRepresentation
bin10011101010010110…
…101110000100110000
32000111022101011012101
4103222112232010300
5321214043143431
613410520510144
71345111302106
oct235226560460
960438334171
1021111693616
118a54000982
12411231b354
131cb5ac1000
141043bc9c76
15838661961
hex4ea5ae130

21111693616 has 80 divisors (see below), whose sum is σ = 44669363200. Its totient is φ = 9665091072.

The previous prime is 21111693613. The next prime is 21111693653. The reversal of 21111693616 is 61639611112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111693613) 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, 4461940 + ... + 4466668.

It is an arithmetic number, because the mean of its divisors is an integer number (558367040).

Almost surely, 221111693616 is an apocalyptic number.

21111693616 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 21111693616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334681600).

21111693616 is an abundant number, since it is smaller than the sum of its proper divisors (23557669584).

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

21111693616 is a wasteful number, since it uses less digits than its factorization.

21111693616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4871 counting only the distinct ones).

The product of its digits is 11664, while the sum is 37.

The spelling of 21111693616 in words is "twenty-one billion, one hundred eleven million, six hundred ninety-three thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 127 169 208 254 338 508 676 1016 1352 1651 2032 2197 2704 3302 4394 4729 6604 8788 9458 13208 17576 18916 21463 26416 35152 37832 42926 61477 75664 85852 122954 171704 245908 279019 343408 491816 558038 600583 799201 983632 1116076 1201166 1598402 2232152 2402332 3196804 4464304 4804664 6393608 7807579 9609328 10389613 12787216 15615158 20779226 31230316 41558452 62460632 83116904 101498527 124921264 166233808 202997054 405994108 811988216 1319480851 1623976432 2638961702 5277923404 10555846808 21111693616