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534351960064 = 21113107187573
BaseRepresentation
bin1111100011010011101…
…10111101100000000000
31220002020220111002111201
413301221312331200000
532223323100210224
61045251120550544
753414511501406
oct7615166754000
91802226432451
10534351960064
1119668782953a
1287689482454
133b50a025970
141bc1163d476
15dd76856a44
hex7c69dbd800

534351960064 has 96 divisors (see below), whose sum is σ = 1161390681360. Its totient is φ = 244317782016.

The previous prime is 534351960059. The next prime is 534351960073. The reversal of 534351960064 is 460069153435.

It is a junction number, because it is equal to n+sod(n) for n = 534351959996 and 534351960023.

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, 2754982 + ... + 2942554.

Almost surely, 2534351960064 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 534351960064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580695340680).

534351960064 is an abundant number, since it is smaller than the sum of its proper divisors (627038721296).

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

534351960064 is a wasteful number, since it uses less digits than its factorization.

534351960064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187715 (or 187695 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 534351960064 in words is "five hundred thirty-four billion, three hundred fifty-one million, nine hundred sixty thousand, sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 128 208 214 256 416 428 512 832 856 1024 1391 1664 1712 2048 2782 3328 3424 5564 6656 6848 11128 13312 13696 22256 26624 27392 44512 54784 89024 109568 178048 187573 219136 356096 375146 712192 750292 1424384 1500584 2438449 2848768 3001168 4876898 6002336 9753796 12004672 19507592 20070311 24009344 39015184 40140622 48018688 78030368 80281244 96037376 156060736 160562488 192074752 260914043 312121472 321124976 384149504 521828086 624242944 642249952 1043656172 1248485888 1284499904 2087312344 2496971776 2568999808 4174624688 4993943552 5137999616 8349249376 10275999232 16698498752 20551998464 33396997504 41103996928 66793995008 133587990016 267175980032 534351960064