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424625520416 = 2553457547853
BaseRepresentation
bin1100010110111011010…
…01110011111100100000
31111121000212211102101112
412023131221303330200
523424113113123131
6523023102322452
742451421241116
oct6133551637440
91447025742345
10424625520416
111540a0044369
126a366289428
13310713ca2b6
14167a2909ab6
15b0a379902b
hex62dda73f20

424625520416 has 48 divisors (see below), whose sum is σ = 853620083064. Its totient is φ = 207850665984.

The previous prime is 424625520359. The next prime is 424625520439. The reversal of 424625520416 is 614025526424.

It can be written as a sum of positive squares in 4 ways, for example, as 420656016400 + 3969504016 = 648580^2 + 63004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501146 + ... + 1048998.

Almost surely, 2424625520416 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 424625520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426810041532).

424625520416 is an abundant number, since it is smaller than the sum of its proper divisors (428994562648).

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

424625520416 is a wasteful number, since it uses less digits than its factorization.

424625520416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548373 (or 548365 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

The spelling of 424625520416 in words is "four hundred twenty-four billion, six hundred twenty-five million, five hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 457 848 914 1696 1828 3656 7312 14624 24221 48442 96884 193768 387536 547853 775072 1095706 2191412 4382824 8765648 17531296 29036209 58072418 116144836 232289672 250368821 464579344 500737642 929158688 1001475284 2002950568 4005901136 8011802272 13269547513 26539095026 53078190052 106156380104 212312760208 424625520416