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20146716456 = 2331765375619
BaseRepresentation
bin10010110000110101…
…100111111100101000
31221000001121020101120
4102300311213330220
5312230024411311
613131050015240
71312153156446
oct226065477450
957001536346
1020146716456
1185a9329299
123aa3117520
131b90bc70c9
14d91997b96
157cda9c706
hex4b0d67f28

20146716456 has 64 divisors (see below), whose sum is σ = 53411918400. Its totient is φ = 6310775808.

The previous prime is 20146716451. The next prime is 20146716461. The reversal of 20146716456 is 65461764102.

It is an interprime number because it is at equal distance from previous prime (20146716451) and next prime (20146716461).

It is a super-2 number, since 2×201467164562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20146716451) 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, 228615 + ... + 304233.

It is an arithmetic number, because the mean of its divisors is an integer number (834561225).

Almost surely, 220146716456 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 20146716456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26705959200).

20146716456 is an abundant number, since it is smaller than the sum of its proper divisors (33265201944).

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

20146716456 is a wasteful number, since it uses less digits than its factorization.

20146716456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76298 (or 76294 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 20146716456 in words is "twenty billion, one hundred forty-six million, seven hundred sixteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 653 1306 1959 2612 3918 5224 7836 11101 15672 22202 33303 44404 66606 75619 88808 133212 151238 226857 266424 302476 453714 604952 907428 1285523 1814856 2571046 3856569 5142092 7713138 10284184 15426276 30852552 49379207 98758414 148137621 197516828 296275242 395033656 592550484 839446519 1185100968 1678893038 2518339557 3357786076 5036679114 6715572152 10073358228 20146716456