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20453513344 = 271131346411
BaseRepresentation
bin10011000011000111…
…111101100010000000
31221210102220010121021
4103003013331202000
5313342044411334
613221325435224
71322566665145
oct230307754200
957712803537
1020453513344
118746525340
123b69a0bb14
131c0c634824
14dc061a3cc
157ea9a03b4
hex4c31fd880

20453513344 has 64 divisors (see below), whose sum is σ = 44594506080. Its totient is φ = 9267148800.

The previous prime is 20453513323. The next prime is 20453513369. The reversal of 20453513344 is 44331535402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×204535133442 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 417499 + ... + 463909.

Almost surely, 220453513344 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 20453513344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297253040).

20453513344 is an abundant number, since it is smaller than the sum of its proper divisors (24140992736).

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

20453513344 is a wasteful number, since it uses less digits than its factorization.

20453513344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46749 (or 46737 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 20453513344 in words is "twenty billion, four hundred fifty-three million, five hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 313 352 626 704 1252 1408 2504 3443 5008 6886 10016 13772 20032 27544 40064 46411 55088 92822 110176 185644 220352 371288 440704 510521 742576 1021042 1485152 2042084 2970304 4084168 5940608 8168336 14526643 16336672 29053286 32673344 58106572 65346688 116213144 159793073 232426288 319586146 464852576 639172292 929705152 1278344584 1859410304 2556689168 5113378336 10226756672 20453513344