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421454778372 = 2236892696037
BaseRepresentation
bin1100010001000001010…
…10011001000000000100
31111021211220112001000000
412020200222121000010
523401114410401442
6521340314321300
742310020336165
oct6104052310004
91437756461000
10421454778372
111528132649a1
1269820429230
1330987533a84
141658177976c
15ae6a229d4c
hex6220a99004

421454778372 has 168 divisors, whose sum is σ = 1122580733400. Its totient is φ = 138367139328.

The previous prime is 421454778337. The next prime is 421454778373. The reversal of 421454778372 is 273877454124.

It is a happy number.

421454778372 is a `hidden beast` number, since 4 + 2 + 14 + 547 + 7 + 83 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16531273476 + 404923504896 = 128574^2 + 636336^2 .

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 (421454778373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69808938 + ... + 69814974.

It is an arithmetic number, because the mean of its divisors is an integer number (6682028175).

Almost surely, 2421454778372 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 421454778372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561290366700).

421454778372 is an abundant number, since it is smaller than the sum of its proper divisors (701125955028).

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

421454778372 is a wasteful number, since it uses less digits than its factorization.

421454778372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6417 (or 6400 counting only the distinct ones).

The product of its digits is 10536960, while the sum is 54.

The spelling of 421454778372 in words is "four hundred twenty-one billion, four hundred fifty-four million, seven hundred seventy-eight thousand, three hundred seventy-two".