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47017401344 = 210120138231
BaseRepresentation
bin101011110010011101…
…001001110000000000
311111100201112110102222
4223302131021300000
51232242423320334
633333254030212
73253064213564
oct536235116000
9144321473388
1047017401344
1118a38108591
129142048368
134583b6bb54
1423c05776a4
151352adbd2e
hexaf2749c00

47017401344 has 44 divisors (see below), whose sum is σ = 94069606608. Its totient is φ = 23488512000.

The previous prime is 47017401317. The next prime is 47017401383. The reversal of 47017401344 is 44310471074.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1210709 + ... + 1248939.

Almost surely, 247017401344 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 47017401344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47034803304).

47017401344 is an abundant number, since it is smaller than the sum of its proper divisors (47052205264).

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

47017401344 is a wasteful number, since it uses less digits than its factorization.

47017401344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39452 (or 39434 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 35.

The spelling of 47017401344 in words is "forty-seven billion, seventeen million, four hundred one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1201 2402 4804 9608 19216 38231 38432 76462 76864 152924 153728 305848 307456 611696 614912 1223392 1229824 2446784 4893568 9787136 19574272 39148544 45915431 91830862 183661724 367323448 734646896 1469293792 2938587584 5877175168 11754350336 23508700672 47017401344