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46808238816 = 2532234169427
BaseRepresentation
bin101011100101111111…
…010000101011100000
311110211010221220101200
4223211333100223200
51231330402120231
633300423001200
73244644315363
oct534577205340
9143733856350
1046808238816
1118940037699
1290a3b99200
13454c727241
1423a088c0da
15133e572be6
hexae5fd0ae0

46808238816 has 72 divisors (see below), whose sum is σ = 133169707944. Its totient is φ = 15595856640.

The previous prime is 46808238773. The next prime is 46808238881. The reversal of 46808238816 is 61883280864.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×468082388162 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 639495 + ... + 708921.

It is an arithmetic number, because the mean of its divisors is an integer number (1849579277).

Almost surely, 246808238816 is an apocalyptic number.

It is an amenable number.

46808238816 is an abundant number, since it is smaller than the sum of its proper divisors (86361469128).

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

46808238816 is a wasteful number, since it uses less digits than its factorization.

46808238816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71784 (or 71773 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 46808238816 in words is "forty-six billion, eight hundred eight million, two hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2341 4682 7023 9364 14046 18728 21069 28092 37456 42138 56184 69427 74912 84276 112368 138854 168552 208281 224736 277708 337104 416562 555416 624843 674208 833124 1110832 1249686 1666248 2221664 2499372 3332496 4998744 6664992 9997488 19994976 162528607 325057214 487585821 650114428 975171642 1300228856 1462757463 1950343284 2600457712 2925514926 3900686568 5200915424 5851029852 7801373136 11702059704 15602746272 23404119408 46808238816