Search a number
-
+
21277213824 = 27361214891
BaseRepresentation
bin10011110100001110…
…001000010010000000
32000220211211110020110
4103310032020102000
5322033431320244
613435152311320
71352161222236
oct236416102200
960824743213
1021277213824
119029483739
124159842540
132011195269
14105bb94956
15847e599b9
hex4f4388480

21277213824 has 96 divisors (see below), whose sum is σ = 57463164720. Its totient is φ = 6975667200.

The previous prime is 21277213823. The next prime is 21277213829. The reversal of 21277213824 is 42831277212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×212772138242 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21277213823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1421419 + ... + 1436309.

Almost surely, 221277213824 is an apocalyptic number.

21277213824 is a gapful number since it is divisible by the number (24) 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 21277213824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28731582360).

21277213824 is an abundant number, since it is smaller than the sum of its proper divisors (36185950896).

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

21277213824 is an equidigital number, since it uses as much as digits as its factorization.

21277213824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15030 (or 14957 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The spelling of 21277213824 in words is "twenty-one billion, two hundred seventy-seven million, two hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 366 384 488 732 976 1464 1952 2928 3721 3904 5856 7442 7808 11163 11712 14884 14891 22326 23424 29768 29782 44652 44673 59536 59564 89304 89346 119072 119128 178608 178692 238144 238256 357216 357384 476288 476512 714432 714768 908351 953024 1428864 1429536 1816702 1906048 2725053 2859072 3633404 5450106 5718144 7266808 10900212 14533616 21800424 29067232 43600848 55409411 58134464 87201696 110818822 116268928 166228233 174403392 221637644 332456466 348806784 443275288 664912932 886550576 1329825864 1773101152 2659651728 3546202304 5319303456 7092404608 10638606912 21277213824