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10048571344 = 2471719893121
BaseRepresentation
bin10010101101111000…
…10000011111010000
3221221022011022111001
421112330100133100
5131034413240334
64341035431344
7504004306240
oct112674203720
927838138431
1010048571344
11429717a419
121b452b5554
13c41a95506
146b47a7b20
153dc2a4714
hex256f107d0

10048571344 has 160 divisors (see below), whose sum is σ = 25085894400. Its totient is φ = 3795517440.

The previous prime is 10048571341. The next prime is 10048571501. The reversal of 10048571344 is 44317584001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048571341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3218104 + ... + 3221224.

It is an arithmetic number, because the mean of its divisors is an integer number (156786840).

Almost surely, 210048571344 is an apocalyptic number.

10048571344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10048571344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12542947200).

10048571344 is an abundant number, since it is smaller than the sum of its proper divisors (15037323056).

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

10048571344 is a wasteful number, since it uses less digits than its factorization.

10048571344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 10048571344 in words is "ten billion, forty-eight million, five hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 19 28 34 38 56 68 76 89 112 119 133 136 152 178 238 266 272 304 323 356 476 532 623 646 712 952 1064 1246 1292 1424 1513 1691 1904 2128 2261 2492 2584 3026 3121 3382 4522 4984 5168 6052 6242 6764 9044 9968 10591 11837 12104 12484 13528 18088 21182 21847 23674 24208 24968 27056 28747 36176 42364 43694 47348 49936 53057 57494 59299 84728 87388 94696 106114 114988 118598 169456 174776 189392 201229 212228 229976 237196 277769 349552 371399 402458 415093 424456 459952 474392 555538 742798 804916 830186 848912 948784 1008083 1111076 1485596 1609832 1660372 1944383 2016166 2222152 2971192 3219664 3320744 3888766 4032332 4444304 4722073 5277611 5942384 6641488 7056581 7777532 8064664 9444146 10555222 14113162 15555064 16129328 18888292 21110444 28226324 31110128 33054511 36943277 37776584 42220888 56452648 66109022 73886554 75553168 84441776 89719387 112905296 132218044 147773108 179438774 264436088 295546216 358877548 528872176 591092432 628035709 717755096 1256071418 1435510192 2512142836 5024285672 10048571344