Search a number
-
+
47685462264 = 233311172351329
BaseRepresentation
bin101100011010010001…
…100110100011111000
311120002021121110202000
4230122101212203320
51240124434243024
633523440541000
73305455512216
oct543221464370
9146067543660
1047685462264
1119250222650
1292a9921760
13465c3a777b
142445199cb6
1513915a0cc9
hexb1a4668f8

47685462264 has 256 divisors, whose sum is σ = 159656832000. Its totient is φ = 13008568320.

The previous prime is 47685462257. The next prime is 47685462271. The reversal of 47685462264 is 46226458674.

It is a happy number.

47685462264 is a `hidden beast` number, since 4 + 7 + 6 + 8 + 5 + 4 + 622 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (47685462257) and next prime (47685462271).

It is a super-2 number, since 2×476854622642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 47685462264.

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, 903352 + ... + 954680.

It is an arithmetic number, because the mean of its divisors is an integer number (623659500).

Almost surely, 247685462264 is an apocalyptic number.

47685462264 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47685462264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79828416000).

47685462264 is an abundant number, since it is smaller than the sum of its proper divisors (111971369736).

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

47685462264 is a wasteful number, since it uses less digits than its factorization.

47685462264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51395 (or 51385 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 47685462264 in words is "forty-seven billion, six hundred eighty-five million, four hundred sixty-two thousand, two hundred sixty-four".