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424297507284 = 223372331787153
BaseRepresentation
bin1100010110010100001…
…10100010100111010100
31111120012000121121222000
412023022012202213110
523422430130213114
6522530344035300
742440326206450
oct6131206424724
91446160547860
10424297507284
11153a41977232
126a294462b30
133101b4719a1
1416771123660
15b084aa4e09
hex62ca1a29d4

424297507284 has 192 divisors, whose sum is σ = 1354156769280. Its totient is φ = 112216389120.

The previous prime is 424297507279. The next prime is 424297507321. The reversal of 424297507284 is 482705792424.

424297507284 is a `hidden beast` number, since 4 + 2 + 42 + 97 + 507 + 2 + 8 + 4 = 666.

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 424297507284.

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, 145452 + ... + 932604.

It is an arithmetic number, because the mean of its divisors is an integer number (7052899840).

Almost surely, 2424297507284 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 424297507284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677078384640).

424297507284 is an abundant number, since it is smaller than the sum of its proper divisors (929859261996).

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

424297507284 is a wasteful number, since it uses less digits than its factorization.

424297507284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787227 (or 787219 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 424297507284 in words is "four hundred twenty-four billion, two hundred ninety-seven million, five hundred seven thousand, two hundred eighty-four".