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426870451980 = 223457311737019
BaseRepresentation
bin1100011011000110111…
…01100010111100001100
31111210211100001202120000
412031203131202330030
523443212313430410
6524033535124300
742561150655110
oct6154335427414
91453740052500
10426870451980
11155042272705
126a892073690
133133b53107b
1416936b21740
15b1858dddc0
hex6363762f0c

426870451980 has 480 divisors, whose sum is σ = 1589135708160. Its totient is φ = 93863784960.

The previous prime is 426870451937. The next prime is 426870451981. The reversal of 426870451980 is 89154078624.

It is a happy number.

426870451980 is a `hidden beast` number, since 4 + 26 + 87 + 0 + 451 + 98 + 0 = 666.

It is a super-3 number, since 3×4268704519803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (426870451981) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 60812911 + ... + 60819929.

It is an arithmetic number, because the mean of its divisors is an integer number (3310699392).

Almost surely, 2426870451980 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 426870451980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794567854080).

426870451980 is an abundant number, since it is smaller than the sum of its proper divisors (1162265256180).

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

426870451980 is a wasteful number, since it uses less digits than its factorization.

426870451980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7251 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 426870451980 in words is "four hundred twenty-six billion, eight hundred seventy million, four hundred fifty-one thousand, nine hundred eighty".