Search a number
-
+
46210811088 = 24313219535657
BaseRepresentation
bin101011000010011000…
…010000010011010000
311102021111210102121210
4223002120100103100
51224114431423323
633121242020120
73224101261521
oct530230202320
9142244712553
1046210811088
1118663886372
128b57aa7640
134485a1c400
1423453b4848
151306db2293
hexac26104d0

46210811088 has 240 divisors, whose sum is σ = 138662642880. Its totient is φ = 13213863936.

The previous prime is 46210811063. The next prime is 46210811093. The reversal of 46210811088 is 88011801264.

It is a Cunningham number, because it is equal to 2149672-1.

It is a super-2 number, since 2×462108110882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8165956 + ... + 8171612.

It is an arithmetic number, because the mean of its divisors is an integer number (577761012).

Almost surely, 246210811088 is an apocalyptic number.

46210811088 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 46210811088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69331321440).

46210811088 is an abundant number, since it is smaller than the sum of its proper divisors (92451831792).

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

46210811088 is a wasteful number, since it uses less digits than its factorization.

46210811088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5766 (or 5747 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 46210811088 in words is "forty-six billion, two hundred ten million, eight hundred eleven thousand, eighty-eight".