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421674532992 = 2735531791429
BaseRepresentation
bin1100010001011011100…
…00101100000010000000
31111022102020000201200000
412020231300230002000
523402042140023432
6521414204400000
742315326251206
oct6105560540200
91438366021600
10421674532992
1115291630a889
1269881b46000
13309c0c168ab
14165a2a21076
15ae7e68757c
hex622dc2c080

421674532992 has 384 divisors, whose sum is σ = 1290160872000. Its totient is φ = 137039745024.

The previous prime is 421674532933. The next prime is 421674532999. The reversal of 421674532992 is 299235476124.

It is a happy number.

421674532992 is a `hidden beast` number, since 4 + 2 + 16 + 7 + 4 + 532 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (421674532999) by changing a digit.

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, 295082934 + ... + 295084362.

Almost surely, 2421674532992 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 421674532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645080436000).

421674532992 is an abundant number, since it is smaller than the sum of its proper divisors (868486339008).

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

421674532992 is a wasteful number, since it uses less digits than its factorization.

421674532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1666 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 421674532992 in words is "four hundred twenty-one billion, six hundred seventy-four million, five hundred thirty-two thousand, nine hundred ninety-two".