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1010282490624 = 283111103108421
BaseRepresentation
bin11101011001110011000…
…01110110101100000000
310120120201022202001220010
432230321201312230000
5113023024304144444
62052041203544520
7132663512323551
oct16547141665400
93516638661803
101010282490624
1135a505145330
1214397168b140
1374366663214
1436c7dd02328
151b42e3252b9
hexeb39876b00

1010282490624 has 144 divisors (see below), whose sum is σ = 2935949796864. Its totient is φ = 305865830400.

The previous prime is 1010282490599. The next prime is 1010282490643. The reversal of 1010282490624 is 4260942820101.

It is a super-2 number, since 2×10102824906242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9263934 + ... + 9372354.

It is an arithmetic number, because the mean of its divisors is an integer number (20388540256).

Almost surely, 21010282490624 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 1010282490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467974898432).

1010282490624 is an abundant number, since it is smaller than the sum of its proper divisors (1925667306240).

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

1010282490624 is a wasteful number, since it uses less digits than its factorization.

1010282490624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109554 (or 109540 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 1010282490624 in words is "one trillion, ten billion, two hundred eighty-two million, four hundred ninety thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1103 1408 2112 2206 2816 3309 4224 4412 6618 8448 8824 12133 13236 17648 24266 26472 35296 36399 48532 52944 70592 72798 97064 105888 108421 141184 145596 194128 211776 216842 282368 291192 325263 388256 423552 433684 582384 650526 776512 847104 867368 1164768 1192631 1301052 1553024 1734736 2329536 2385262 2602104 3106048 3469472 3577893 4659072 4770524 5204208 6938944 7155786 9318144 9541048 10408416 13877888 14311572 19082096 20816832 27755776 28623144 38164192 41633664 57246288 76328384 83267328 114492576 119588363 152656768 228985152 239176726 305313536 358765089 457970304 478353452 717530178 915940608 956706904 1315471993 1435060356 1913413808 2630943986 2870120712 3826827616 3946415979 5261887972 5740241424 7653655232 7892831958 10523775944 11480482848 15307310464 15785663916 21047551888 22960965696 30614620928 31571327832 42095103776 45921931392 63142655664 84190207552 91843862784 126285311328 168380415104 252570622656 336760830208 505141245312 1010282490624