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1010382782464 = 214115606261
BaseRepresentation
bin11101011001111111000…
…00011100000000000000
310120120222022110102102201
432230333200130000000
5113023230443014324
62052055145322544
7132666140642566
oct16547740340000
93516868412381
101010382782464
1135a556816050
1214399b196454
13743813797c3
1436c8d36ba36
151b438036444
hexeb3f81c000

1010382782464 has 60 divisors (see below), whose sum is σ = 2204404643448. Its totient is φ = 459264819200.

The previous prime is 1010382782341. The next prime is 1010382782467. The reversal of 1010382782464 is 4642872830101.

It is a super-2 number, since 2×10103827824642 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010382782467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2622907 + ... + 2983354.

Almost surely, 21010382782464 is an apocalyptic number.

It is an amenable number.

1010382782464 is an abundant number, since it is smaller than the sum of its proper divisors (1194021860984).

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

1010382782464 is an frugal number, since it uses more digits than its factorization.

1010382782464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606300 (or 5606274 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 1010382782464 in words is "one trillion, ten billion, three hundred eighty-two million, seven hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2816 4096 5632 8192 11264 16384 22528 45056 90112 180224 5606261 11212522 22425044 44850088 61668871 89700176 123337742 179400352 246675484 358800704 493350968 717601408 986701936 1435202816 1973403872 2870405632 3946807744 5740811264 7893615488 11481622528 15787230976 22963245056 31574461952 45926490112 63148923904 91852980224 126297847808 252595695616 505191391232 1010382782464