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10328924142 = 234293795801
BaseRepresentation
bin10011001111010011…
…01101111111101110
3222122211200201020000
421213221231333232
5132123201033032
64424532405130
7513650256315
oct114751557756
928584621200
1010328924142
114420454649
1220031767a6
13c87ba4644
146ddb0527c
15406bd1e7c
hex267a6dfee

10328924142 has 80 divisors (see below), whose sum is σ = 24009836400. Its totient is φ = 3314908800.

The previous prime is 10328924087. The next prime is 10328924161. The reversal of 10328924142 is 24142982301.

It is a junction number, because it is equal to n+sod(n) for n = 10328924097 and 10328924106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1777642 + ... + 1783442.

It is an arithmetic number, because the mean of its divisors is an integer number (300122955).

Almost surely, 210328924142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10328924142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004918200).

10328924142 is an abundant number, since it is smaller than the sum of its proper divisors (13680912258).

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

10328924142 is a wasteful number, since it uses less digits than its factorization.

10328924142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6223 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10328924142 in words is "ten billion, three hundred twenty-eight million, nine hundred twenty-four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 379 522 758 783 1137 1566 2274 2349 3411 4698 5801 6822 10233 10991 11602 17403 20466 21982 30699 32973 34806 52209 61398 65946 98919 104418 156627 168229 197838 296757 313254 336458 469881 504687 593514 890271 939762 1009374 1514061 1780542 2198579 3028122 4397158 4542183 6595737 9084366 13191474 13626549 19787211 27253098 39574422 59361633 63758791 118723266 127517582 178084899 191276373 356169798 382552746 573829119 1147658238 1721487357 3442974714 5164462071 10328924142