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21185443664 = 24711131131267
BaseRepresentation
bin10011101110110000…
…000011011101010000
32000200110011001020122
4103232300003131100
5321341433144124
613422113325412
71346665204610
oct235660033520
960613131218
1021185443664
118a916a3430
124132b66868
131cc81736a8
14104d906a40
1583ed7d75e
hex4eec03750

21185443664 has 80 divisors (see below), whose sum is σ = 51566270976. Its totient is φ = 8190998400.

The previous prime is 21185443663. The next prime is 21185443693. The reversal of 21185443664 is 46634458112.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21185443663) 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, 95759 + ... + 227025.

Almost surely, 221185443664 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 21185443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25783135488).

21185443664 is an abundant number, since it is smaller than the sum of its proper divisors (30380827312).

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

21185443664 is a wasteful number, since it uses less digits than its factorization.

21185443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131424 (or 131418 counting only the distinct ones).

The product of its digits is 552960, while the sum is 44.

The spelling of 21185443664 in words is "twenty-one billion, one hundred eighty-five million, four hundred forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 131 154 176 262 308 524 616 917 1048 1232 1441 1834 2096 2882 3668 5764 7336 10087 11528 14672 20174 23056 40348 80696 131267 161392 262534 525068 918869 1050136 1443937 1837738 2100272 2887874 3675476 5775748 7350952 10107559 11551496 14701904 17195977 20215118 23102992 34391954 40430236 68783908 80860472 120371839 137567816 161720944 189155747 240743678 275135632 378311494 481487356 756622988 962974712 1324090229 1513245976 1925949424 2648180458 3026491952 5296360916 10592721832 21185443664