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46780331880 = 23351729322543
BaseRepresentation
bin101011100100010100…
…110011011101101000
311110202012110002021110
4223210110303131220
51231301231110010
633253544510320
73244155155142
oct534424633550
9143665402243
1046780331880
1118926306807
12909677b3a0
134546a05b69
14239aca5c92
15133bdae120
hexae4533768

46780331880 has 64 divisors (see below), whose sum is σ = 140355336960. Its totient is φ = 12473480448.

The previous prime is 46780331869. The next prime is 46780331881. The reversal of 46780331880 is 8813308764.

46780331880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×467803318803 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (46780331881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2063889 + ... + 2086431.

It is an arithmetic number, because the mean of its divisors is an integer number (2193052140).

Almost surely, 246780331880 is an apocalyptic number.

46780331880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46780331880 is an abundant number, since it is smaller than the sum of its proper divisors (93575005080).

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

46780331880 is a wasteful number, since it uses less digits than its factorization.

46780331880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39850 (or 39846 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 46780331880 in words is "forty-six billion, seven hundred eighty million, three hundred thirty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17293 22543 34586 45086 51879 67629 69172 86465 90172 103758 112715 135258 138344 172930 180344 207516 225430 259395 270516 338145 345860 415032 450860 518790 541032 676290 691720 901720 1037580 1352580 2075160 2705160 389836099 779672198 1169508297 1559344396 1949180495 2339016594 3118688792 3898360990 4678033188 5847541485 7796721980 9356066376 11695082970 15593443960 23390165940 46780331880