Search a number
-
+
46551130403328 = 293319793975651
BaseRepresentation
bin10101001010110100001111…
…00101110111001000000000
320002211020121022112212221000
422211122013211313020000
522100143203340401303
6243001143304332000
712543131256511545
oct1245320745671000
9202736538485830
1046551130403328
11139182505887a1
125279b07474000
131cc89a2a7c445
14b6d12ddd2bcc
1555ad7d51bda3
hex2a5687977200

46551130403328 has 640 divisors, whose sum is σ = 147279002112000. Its totient is φ = 14475154636800.

The previous prime is 46551130403287. The next prime is 46551130403369. The reversal of 46551130403328 is 82330403115564.

46551130403328 is a `hidden beast` number, since 4 + 6 + 5 + 5 + 1 + 1 + 304 + 0 + 332 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (46551130403287) and next prime (46551130403369).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8237677303 + ... + 8237682953.

It is an arithmetic number, because the mean of its divisors is an integer number (230123440800).

Almost surely, 246551130403328 is an apocalyptic number.

46551130403328 is a gapful number since it is divisible by the number (48) 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 46551130403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73639501056000).

46551130403328 is an abundant number, since it is smaller than the sum of its proper divisors (100727871708672).

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

46551130403328 is a wasteful number, since it uses less digits than its factorization.

46551130403328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6173 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 46551130403328 in words is "forty-six trillion, five hundred fifty-one billion, one hundred thirty million, four hundred three thousand, three hundred twenty-eight".