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21088844672 = 277311136719
BaseRepresentation
bin10011101000111111…
…100011101110000000
32000102201101022100012
4103220333203232000
5321142221012142
613404343044052
71344413136110
oct235077435600
960381338305
1021088844672
118a42115155
124106740628
131cb1150c1c
141040b5d040
1583664b882
hex4e8fe3b80

21088844672 has 128 divisors (see below), whose sum is σ = 50009702400. Its totient is φ = 8667832320.

The previous prime is 21088844663. The next prime is 21088844683. The reversal of 21088844672 is 27644888012.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 21088844672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3135329 + ... + 3142047.

It is an arithmetic number, because the mean of its divisors is an integer number (390700800).

Almost surely, 221088844672 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 21088844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25004851200).

21088844672 is an abundant number, since it is smaller than the sum of its proper divisors (28920857728).

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

21088844672 is a wasteful number, since it uses less digits than its factorization.

21088844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 21088844672 in words is "twenty-one billion, eighty-eight million, eight hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 113 124 128 217 224 226 248 434 448 452 496 791 868 896 904 992 1582 1736 1808 1984 3164 3472 3503 3616 3968 6328 6719 6944 7006 7232 12656 13438 13888 14012 14464 24521 25312 26876 27776 28024 47033 49042 50624 53752 56048 94066 98084 101248 107504 112096 188132 196168 208289 215008 224192 376264 392336 416578 430016 448384 752528 759247 784672 833156 860032 1458023 1505056 1518494 1569344 1666312 2916046 3010112 3036988 3138688 3332624 5314729 5832092 6020224 6073976 6665248 10629458 11664184 12147952 13330496 21258916 23328368 23536657 24295904 26660992 42517832 46656736 47073314 48591808 85035664 93313472 94146628 97183616 164756599 170071328 186626944 188293256 329513198 340142656 376586512 659026396 680285312 753173024 1318052792 1506346048 2636105584 3012692096 5272211168 10544422336 21088844672