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10428509392 = 2477910311443
BaseRepresentation
bin10011011011001011…
…00110110011010000
3222220210002011111121
421231211212303100
5132324144300032
64442451052024
7516266603320
oct115545466320
928823064447
1010428509392
114471692504
1220305a1014
13ca2701422
1470d029280
15410803a97
hex26d966cd0

10428509392 has 80 divisors (see below), whose sum is σ = 23613091840. Its totient is φ = 4369562496.

The previous prime is 10428509387. The next prime is 10428509453. The reversal of 10428509392 is 29390582401.

10428509392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905623 + ... + 917065.

It is an arithmetic number, because the mean of its divisors is an integer number (295163648).

Almost surely, 210428509392 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 10428509392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11806545920).

10428509392 is an abundant number, since it is smaller than the sum of its proper divisors (13184582448).

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

10428509392 is a wasteful number, since it uses less digits than its factorization.

10428509392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11640 (or 11634 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 10428509392 in words is "ten billion, four hundred twenty-eight million, five hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 56 79 103 112 158 206 316 412 553 632 721 824 1106 1264 1442 1648 2212 2884 4424 5768 8137 8848 11443 11536 16274 22886 32548 45772 56959 65096 80101 91544 113918 130192 160202 183088 227836 320404 455672 640808 903997 911344 1178629 1281616 1807994 2357258 3615988 4714516 6327979 7231976 8250403 9429032 12655958 14463952 16500806 18858064 25311916 33001612 50623832 66003224 93111691 101247664 132006448 186223382 372446764 651781837 744893528 1303563674 1489787056 2607127348 5214254696 10428509392