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21477600352 = 25131710632857
BaseRepresentation
bin10100000000001010…
…100010110001100000
32001102210220010212201
4110000022202301200
5322441231202402
613511111302544
71360143406435
oct240012426140
961383803781
1021477600352
11912160003a
1241b497aa54
132043856480
14107a637b8c
1585a83d687
hex5002a2c60

21477600352 has 96 divisors (see below), whose sum is σ = 48277518912. Its totient is φ = 9317597184.

The previous prime is 21477600337. The next prime is 21477600377. The reversal of 21477600352 is 25300677412.

It is a happy number.

It is a super-2 number, since 2×214776003522 (a number of 21 digits) contains 22 as substring.

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, 7516108 + ... + 7518964.

It is an arithmetic number, because the mean of its divisors is an integer number (502890822).

Almost surely, 221477600352 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 21477600352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24138759456).

21477600352 is an abundant number, since it is smaller than the sum of its proper divisors (26799918560).

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

21477600352 is a wasteful number, since it uses less digits than its factorization.

21477600352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3960 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 21477600352 in words is "twenty-one billion, four hundred seventy-seven million, six hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 68 104 136 208 221 272 416 442 544 884 1063 1768 2126 2857 3536 4252 5714 7072 8504 11428 13819 17008 18071 22856 27638 34016 36142 37141 45712 48569 55276 72284 74282 91424 97138 110552 144568 148564 194276 221104 234923 289136 297128 388552 442208 469846 578272 594256 631397 777104 939692 1188512 1262794 1554208 1879384 2525588 3036991 3758768 5051176 6073982 7517536 10102352 12147964 20204704 24295928 39480883 48591856 51628847 78961766 97183712 103257694 157923532 206515388 315847064 413030776 631694128 671175011 826061552 1263388256 1342350022 1652123104 2684700044 5369400088 10738800176 21477600352