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46291068252 = 2232112131395881
BaseRepresentation
bin101011000111001010…
…011010010101011100
311102111002210220202100
4223013022122111130
51224301003141002
633133230125100
73226064405442
oct530712322534
9142432726670
1046291068252
11186a5112800
128b7a950790
13449953c860
142351d06b92
15130de6711c
hexac729a55c

46291068252 has 216 divisors, whose sum is σ = 139532098160. Its totient is φ = 12853209600.

The previous prime is 46291068251. The next prime is 46291068269. The reversal of 46291068252 is 25286019264.

46291068252 is a `hidden beast` number, since 4 + 629 + 10 + 6 + 8 + 2 + 5 + 2 = 666.

46291068252 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-2 number, since 2×462910682522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46291068198 and 46291068207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46291068251) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7868352 + ... + 7874232.

Almost surely, 246291068252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46291068252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69766049080).

46291068252 is an abundant number, since it is smaller than the sum of its proper divisors (93241029908).

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

46291068252 is a wasteful number, since it uses less digits than its factorization.

46291068252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6065 (or 6049 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 46291068252 in words is "forty-six billion, two hundred ninety-one million, sixty-eight thousand, two hundred fifty-two".