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4465050153344 = 27114676790579
BaseRepresentation
bin100000011111001100110…
…1110100111000110000000
3120210212002000121020200122
41000332121232213012000
51041123410314401334
613255114332435412
7640406051043014
oct100763156470600
916725060536618
104465050153344
111471687453a80
12601434318b68
1326508b232971
14116176990544
157b22d66832e
hex40f99ba7180

4465050153344 has 64 divisors (see below), whose sum is σ = 9724653806400. Its totient is φ = 2025221982720.

The previous prime is 4465050153329. The next prime is 4465050153379. The reversal of 4465050153344 is 4433510505644.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4465050153295 and 4465050153304.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 2737754 + ... + 4052825.

It is an arithmetic number, because the mean of its divisors is an integer number (151947715725).

Almost surely, 24465050153344 is an apocalyptic number.

4465050153344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4465050153344 is an abundant number, since it is smaller than the sum of its proper divisors (5259603653056).

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

4465050153344 is a wasteful number, since it uses less digits than its factorization.

4465050153344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6791071 (or 6791059 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 44.

Adding to 4465050153344 its reverse (4433510505644), we get a palindrome (8898560658988).

The spelling of 4465050153344 in words is "four trillion, four hundred sixty-five billion, fifty million, one hundred fifty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 467 704 934 1408 1868 3736 5137 7472 10274 14944 20548 29888 41096 59776 82192 164384 328768 657536 6790579 13581158 27162316 54324632 74696369 108649264 149392738 217298528 298785476 434597056 597570952 869194112 1195141904 2390283808 3171200393 4780567616 6342400786 9561135232 12684801572 25369603144 34883204323 50739206288 69766408646 101478412576 139532817292 202956825152 279065634584 405913650304 558131269168 1116262538336 2232525076672 4465050153344