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450246642054 = 2311831135091429
BaseRepresentation
bin1101000110101001100…
…10101000100110000110
31121001011110111020220120
412203110302220212012
524334101120021204
6542501312042410
744346350211546
oct6432462504606
91531143436816
10450246642054
11163a48545260
1273316833406
13335c55161c1
1417b13577326
15baa2c5c6d9
hex68d4ca8986

450246642054 has 128 divisors (see below), whose sum is σ = 1005663859200. Its totient is φ = 133245880320.

The previous prime is 450246642049. The next prime is 450246642067.

450246642054 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 450246641997 and 450246642015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 315077412 + ... + 315078840.

It is an arithmetic number, because the mean of its divisors is an integer number (7856748900).

Almost surely, 2450246642054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450246642054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502831929600).

450246642054 is an abundant number, since it is smaller than the sum of its proper divisors (555417217146).

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

450246642054 is a wasteful number, since it uses less digits than its factorization.

450246642054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 450246642054 in words is "four hundred fifty billion, two hundred forty-six million, six hundred forty-two thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 83 113 166 226 249 339 498 509 678 913 1018 1243 1429 1527 1826 2486 2739 2858 3054 3729 4287 5478 5599 7458 8574 9379 11198 15719 16797 18758 28137 31438 33594 42247 47157 56274 57517 84494 94314 103169 115034 118607 126741 161477 172551 206338 237214 253482 309507 322954 345102 355821 464717 484431 619014 632687 711642 727361 929434 968862 1265374 1304677 1394151 1454722 1776247 1898061 2182083 2609354 2788302 3552494 3796122 3914031 4364166 4773911 5328741 7828062 8000971 9547822 10657482 13402591 14321733 16001942 24002913 26805182 28643466 40207773 48005826 52513021 60370963 80415546 82191793 105026042 120741926 147428501 157539063 164383586 181112889 246575379 294857002 315078126 362225778 442285503 493150758 664080593 884571006 904109723 1328161186 1808219446 1992241779 2712329169 3984483558 5424658338 6821918819 13643837638 20465756457 40931512914 75041107009 150082214018 225123321027 450246642054