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1630423406592 = 21138711709
BaseRepresentation
bin10111101110011100110…
…011101101100000000000
312202212102000021200000000
4113232130303231200000
5203203101343002332
63245001200000000
7225536261202321
oct27563463554000
95685360250000
101630423406592
11579505565122
12223ba1600000
13ba995c36586
1458cad070448
152c627496b7c
hex17b9cced800

1630423406592 has 432 divisors, whose sum is σ = 4961599952400. Its totient is φ = 535506370560.

The previous prime is 1630423406567. The next prime is 1630423406597. The reversal of 1630423406592 is 2956043240361.

1630423406592 is a `hidden beast` number, since 1 + 6 + 30 + 4 + 23 + 4 + 0 + 6 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630423406597) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 954021034 + ... + 954022742.

It is an arithmetic number, because the mean of its divisors is an integer number (11485185075).

Almost surely, 21630423406592 is an apocalyptic number.

1630423406592 is a gapful number since it is divisible by the number (12) 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 1630423406592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480799976200).

1630423406592 is an abundant number, since it is smaller than the sum of its proper divisors (3331176545808).

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

1630423406592 is an frugal number, since it uses more digits than its factorization.

1630423406592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1630423406592 in words is "one trillion, six hundred thirty billion, four hundred twenty-three million, four hundred six thousand, five hundred ninety-two".