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20331245344 = 253161794253
BaseRepresentation
bin10010111011110101…
…100010111100100000
31221110220211021102211
4102323311202330200
5313114244322334
613201241051504
71316553506524
oct227365427440
957426737384
1020331245344
118693504603
123b34a86b94
131bc01c54b7
14dac2add84
157ded9ca64
hex4bbd62f20

20331245344 has 96 divisors (see below), whose sum is σ = 42537277440. Its totient is φ = 9551692800.

The previous prime is 20331245323. The next prime is 20331245357. The reversal of 20331245344 is 44354213302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 4778322 + ... + 4782574.

It is an arithmetic number, because the mean of its divisors is an integer number (443096640).

Almost surely, 220331245344 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 20331245344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21268638720).

20331245344 is an abundant number, since it is smaller than the sum of its proper divisors (22206032096).

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

20331245344 is a wasteful number, since it uses less digits than its factorization.

20331245344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 20331245344 its reverse (44354213302), we get a palindrome (64685458646).

The spelling of 20331245344 in words is "twenty billion, three hundred thirty-one million, two hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 31 32 61 62 79 122 124 158 244 248 316 488 496 632 976 992 1264 1891 1952 2449 2528 3782 4253 4819 4898 7564 8506 9638 9796 15128 17012 19276 19592 30256 34024 38552 39184 60512 68048 77104 78368 131843 136096 149389 154208 259433 263686 298778 335987 518866 527372 597556 671974 1037732 1054744 1195112 1343948 2075464 2109488 2390224 2687896 4150928 4218976 4780448 5375792 8042423 8301856 10415597 10751584 16084846 20495207 20831194 32169692 40990414 41662388 64339384 81980828 83324776 128678768 163961656 166649552 257357536 327923312 333299104 635351417 655846624 1270702834 2541405668 5082811336 10165622672 20331245344