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4506381684 = 2232743341299
BaseRepresentation
bin1000011001001100…
…11110110101110100
3102122001112220112100
410030212132311310
533212113203214
62023055222100
7216446420010
oct41446366564
912561486470
104506381684
111a0280a292
12a59217930
1356a7cc44c
1430a6cb540
151b594e309
hex10c99ed74

4506381684 has 72 divisors (see below), whose sum is σ = 13048817600. Its totient is φ = 1284532992.

The previous prime is 4506381673. The next prime is 4506381703. The reversal of 4506381684 is 4861836054.

4506381684 is a `hidden beast` number, since 4 + 5 + 0 + 638 + 1 + 6 + 8 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 88467 + ... + 129765.

Almost surely, 24506381684 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 4506381684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6524408800).

4506381684 is an abundant number, since it is smaller than the sum of its proper divisors (8542435916).

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

4506381684 is a wasteful number, since it uses less digits than its factorization.

4506381684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41749 (or 41744 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 4506381684 is about 67129.5887370093. The cubic root of 4506381684 is about 1651.7436949326.

The spelling of 4506381684 in words is "four billion, five hundred six million, three hundred eighty-one thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 433 866 1299 1732 2598 3031 3897 5196 6062 7794 9093 12124 15588 18186 27279 36372 41299 54558 82598 109116 123897 165196 247794 289093 371691 495588 578186 743382 867279 1156372 1486764 1734558 2601837 3469116 5203674 10407348 17882467 35764934 53647401 71529868 107294802 125177269 160942203 214589604 250354538 321884406 375531807 500709076 643768812 751063614 1126595421 1502127228 2253190842 4506381684