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46316016252 = 223211491238207
BaseRepresentation
bin101011001000101001…
…100101001001111100
311102112211202101222100
4223020221211021330
51224323400010002
633135520545100
73226516433232
oct531051451174
9142484671870
1046316016252
1118708202590
128b87182190
1344a176619c
14235535c952
15131124411c
hexac8a6527c

46316016252 has 72 divisors (see below), whose sum is σ = 127980582912. Its totient is φ = 14006512800.

The previous prime is 46316016223. The next prime is 46316016259. The reversal of 46316016252 is 25261061364.

46316016252 is a `hidden beast` number, since 4 + 631 + 6 + 0 + 16 + 2 + 5 + 2 = 666.

It is a super-3 number, since 3×463160162523 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46316016259) by changing a digit.

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, 75333 + ... + 313539.

It is an arithmetic number, because the mean of its divisors is an integer number (1777508096).

Almost surely, 246316016252 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 46316016252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63990291456).

46316016252 is an abundant number, since it is smaller than the sum of its proper divisors (81664566660).

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

46316016252 is a wasteful number, since it uses less digits than its factorization.

46316016252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238719 (or 238714 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 46316016252 in words is "forty-six billion, three hundred sixteen million, sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 491 982 1473 1964 2946 4419 5401 5892 8838 10802 16203 17676 21604 32406 48609 64812 97218 194436 238207 476414 714621 952828 1429242 2143863 2620277 2858484 4287726 5240554 7860831 8575452 10481108 15721662 23582493 31443324 47164986 94329972 116959637 233919274 350878911 467838548 701757822 1052636733 1286556007 1403515644 2105273466 2573112014 3859668021 4210546932 5146224028 7719336042 11579004063 15438672084 23158008126 46316016252