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482064301664 = 251131197224251
BaseRepresentation
bin1110000001111010100…
…01010111111001100000
31201002021220000211111222
413000331101113321200
530344231430123124
61005242434554212
746554000645551
oct7007521277140
91632256024458
10482064301664
11176495804910
1279516438968
13365c634241a
1419491174328
15c81622c25e
hex703d457e60

482064301664 has 96 divisors (see below), whose sum is σ = 1074170668032. Its totient is φ = 210974400000.

The previous prime is 482064301651. The next prime is 482064301679. The reversal of 482064301664 is 466103460284.

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

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 15 ways as a sum of consecutive naturals, for example, 2037539 + ... + 2261789.

It is an arithmetic number, because the mean of its divisors is an integer number (11189277792).

Almost surely, 2482064301664 is an apocalyptic number.

482064301664 is a gapful number since it is divisible by the number (44) 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 482064301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537085334016).

482064301664 is an abundant number, since it is smaller than the sum of its proper divisors (592106366368).

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

482064301664 is a wasteful number, since it uses less digits than its factorization.

482064301664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224500 (or 224492 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 44.

The spelling of 482064301664 in words is "four hundred eighty-two billion, sixty-four million, three hundred one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 197 248 341 352 394 496 682 788 992 1364 1576 2167 2728 3152 4334 5456 6107 6304 8668 10912 12214 17336 24428 34672 48856 67177 69344 97712 134354 195424 224251 268708 448502 537416 897004 1074832 1794008 2149664 2466761 3588016 4933522 6951781 7176032 9867044 13903562 19734088 27807124 39468176 44177447 55614248 76469591 78936352 88354894 111228496 152939182 176709788 222456992 305878364 353419576 485951917 611756728 706839152 971903834 1223513456 1369500857 1413678304 1943807668 2447026912 2739001714 3887615336 5478003428 7775230672 10956006856 15064509427 15550461344 21912013712 30129018854 43824027424 60258037708 120516075416 241032150832 482064301664