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10146433128 = 233131311631523
BaseRepresentation
bin10010111001100011…
…00100100001101000
3222012010022012121120
421130301210201220
5131234441330003
64354453135240
7506303154456
oct113461444150
928163265546
1010146433128
114337440427
121b7202a520
13c5913a9b0
146c379d9d6
153e5b85853
hex25cc64868

10146433128 has 128 divisors (see below), whose sum is σ = 27712903680. Its totient is φ = 3077118720.

The previous prime is 10146433117. The next prime is 10146433133. The reversal of 10146433128 is 82133464101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6661375 + ... + 6662897.

It is an arithmetic number, because the mean of its divisors is an integer number (216507060).

Almost surely, 210146433128 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 10146433128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856451840).

10146433128 is an abundant number, since it is smaller than the sum of its proper divisors (17566470552).

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

10146433128 is a wasteful number, since it uses less digits than its factorization.

10146433128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

Adding to 10146433128 its reverse (82133464101), we get a palindrome (92279897229).

The spelling of 10146433128 in words is "ten billion, one hundred forty-six million, four hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 163 262 312 326 393 489 524 652 786 978 1048 1304 1523 1572 1703 1956 2119 3046 3144 3406 3912 4238 4569 5109 6092 6357 6812 8476 9138 10218 12184 12714 13624 16952 18276 19799 20436 21353 25428 36552 39598 40872 42706 50856 59397 64059 79196 85412 118794 128118 158392 170824 199513 237588 248249 256236 277589 399026 475176 496498 512472 555178 598539 744747 798052 832767 992996 1110356 1197078 1489494 1596104 1665534 1985992 2220712 2394156 2593669 2978988 3227237 3331068 4788312 5187338 5957976 6454474 6662136 7781007 9681711 10374676 12908948 15562014 19363422 20749352 25817896 31124028 32520619 38726844 62248056 65041238 77453688 97561857 130082476 195123714 260164952 390247428 422768047 780494856 845536094 1268304141 1691072188 2536608282 3382144376 5073216564 10146433128