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473429053440 = 21232571312801
BaseRepresentation
bin1101110001110101001…
…00100001000000000000
31200021000002021202212200
412320322210201000000
530224040314202230
61001253523353200
746130004362010
oct6707244410000
91607002252780
10473429053440
111728643a4032
1277906522800
133584b3119a5
1418cb2389c40
15c4ad0a0160
hex6e3a921000

473429053440 has 624 divisors, whose sum is σ = 1890442958976. Its totient is φ = 107347968000.

The previous prime is 473429053429. The next prime is 473429053453. The reversal of 473429053440 is 44350924374.

473429053440 is a `hidden beast` number, since 4 + 73 + 4 + 2 + 9 + 0 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169020040 + ... + 169022840.

It is an arithmetic number, because the mean of its divisors is an integer number (3029556024).

Almost surely, 2473429053440 is an apocalyptic number.

473429053440 is a gapful number since it is divisible by the number (40) 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 473429053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945221479488).

473429053440 is an abundant number, since it is smaller than the sum of its proper divisors (1417013905536).

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

473429053440 is a wasteful number, since it uses less digits than its factorization.

473429053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 2949 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 473429053440 in words is "four hundred seventy-three billion, four hundred twenty-nine million, fifty-three thousand, four hundred forty".