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428018150820 = 22351322973127157
BaseRepresentation
bin1100011101001111101…
…11101010110110100100
31111220210022122220101110
412032213313222312210
524003040121311240
6524343454225020
742631455152631
oct6164767526644
91456708586343
10428018150820
111555810a6847
126ab524b5170
1331492242900
1416a05319188
15b201547c80
hex63a7deada4

428018150820 has 576 divisors, whose sum is σ = 1380321976320. Its totient is φ = 98907734016.

The previous prime is 428018150801. The next prime is 428018150831. The reversal of 428018150820 is 28051810824.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2726230182 + ... + 2726230338.

It is an arithmetic number, because the mean of its divisors is an integer number (2396392320).

Almost surely, 2428018150820 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 428018150820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690160988160).

428018150820 is an abundant number, since it is smaller than the sum of its proper divisors (952303825500).

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

428018150820 is a wasteful number, since it uses less digits than its factorization.

428018150820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 39.

The spelling of 428018150820 in words is "four hundred twenty-eight billion, eighteen million, one hundred fifty thousand, eight hundred twenty".