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423767988864 = 2732112231311009
BaseRepresentation
bin1100010101010101000…
…10100101101010000000
31111111211010020022020200
412022222202211222000
523420334101120424
6522402030405200
742421236321123
oct6125242455200
91444733208220
10423767988864
1115379aa89200
126a167060800
1330c65852b8c
1416720a863ba
15b05335a8c9
hex62aa8a5a80

423767988864 has 576 divisors, whose sum is σ = 1410722913600. Its totient is φ = 121772851200.

The previous prime is 423767988851. The next prime is 423767988907. The reversal of 423767988864 is 468889767324.

423767988864 is a `hidden beast` number, since 423 + 7 + 67 + 9 + 8 + 88 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 423767988792 and 423767988801.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419987592 + ... + 419988600.

It is an arithmetic number, because the mean of its divisors is an integer number (2449171725).

Almost surely, 2423767988864 is an apocalyptic number.

423767988864 is a gapful number since it is divisible by the number (44) 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 423767988864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705361456800).

423767988864 is an abundant number, since it is smaller than the sum of its proper divisors (986954924736).

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

423767988864 is a wasteful number, since it uses less digits than its factorization.

423767988864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1179 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 423767988864 in words is "four hundred twenty-three billion, seven hundred sixty-seven million, nine hundred eighty-eight thousand, eight hundred sixty-four".