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9142061824 = 28737173797
BaseRepresentation
bin10001000001110100…
…01100101100000000
3212121010101212012101
420200322030230000
5122210331434244
64111054040144
7442356146320
oct104072145400
925533355171
109142061824
1139715013a5
1219317a9054
13b2902cc4c
1462a235280
153878de0d4
hex220e8cb00

9142061824 has 144 divisors (see below), whose sum is σ = 21569825088. Its totient is φ = 3785342976.

The previous prime is 9142061813. The next prime is 9142061833. The reversal of 9142061824 is 4281602419.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11470194 + ... + 11470990.

It is an arithmetic number, because the mean of its divisors is an integer number (149790452).

Almost surely, 29142061824 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 9142061824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10784912544).

9142061824 is an abundant number, since it is smaller than the sum of its proper divisors (12427763264).

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

9142061824 is a wasteful number, since it uses less digits than its factorization.

9142061824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 9142061824 is about 95614.1298344549. The cubic root of 9142061824 is about 2090.9712009816.

The spelling of 9142061824 in words is "nine billion, one hundred forty-two million, sixty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 173 224 256 259 296 346 448 518 592 692 797 896 1036 1184 1211 1384 1594 1792 2072 2368 2422 2768 3188 4144 4736 4844 5536 5579 6376 6401 8288 9472 9688 11072 11158 12752 12802 16576 19376 22144 22316 25504 25604 29489 33152 38752 44288 44632 44807 51008 51208 58978 66304 77504 89264 89614 102016 102416 117956 137881 155008 178528 179228 204032 204832 206423 235912 275762 310016 357056 358456 409664 412846 471824 551524 714112 716912 819328 825692 943648 965167 1103048 1428224 1433824 1638656 1651384 1887296 1930334 2206096 2867648 3302768 3774592 3860668 4412192 5101597 5735296 6605536 7549184 7721336 8824384 10203194 11470592 13211072 15442672 17648768 20406388 26422144 30885344 35297536 35711179 40812776 52844288 61770688 71422358 81625552 123541376 142844716 163251104 247082752 285689432 326502208 571378864 653004416 1142757728 1306008832 2285515456 4571030912 9142061824