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412504552152 = 233472111769473
BaseRepresentation
bin1100000000010110010…
…11111111001011011000
31110102202011002102210000
412000023023333023120
523224302131132102
6513300232053000
741542150561200
oct6001313771330
91412664072700
10412504552152
11149a4007a520
1267b42b34160
132cb8c18cc24
1415d72bdd400
15aae45d101c
hex600b2ff2d8

412504552152 has 480 divisors, whose sum is σ = 1552485456720. Its totient is φ = 100839997440.

The previous prime is 412504552147. The next prime is 412504552231. The reversal of 412504552152 is 251255405214.

412504552152 is a `hidden beast` number, since 4 + 1 + 2 + 50 + 4 + 552 + 1 + 52 = 666.

It is a super-2 number, since 2×4125045521522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5902888 + ... + 5972360.

Almost surely, 2412504552152 is an apocalyptic number.

412504552152 is a gapful number since it is divisible by the number (42) 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 412504552152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776242728360).

412504552152 is an abundant number, since it is smaller than the sum of its proper divisors (1139980904568).

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

412504552152 is a wasteful number, since it uses less digits than its factorization.

412504552152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69533 (or 69513 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

Adding to 412504552152 its reverse (251255405214), we get a palindrome (663759957366).

The spelling of 412504552152 in words is "four hundred twelve billion, five hundred four million, five hundred fifty-two thousand, one hundred fifty-two".