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23494785329664 = 29341124681997
BaseRepresentation
bin1010101011110010011100…
…10101010110101000000000
310002012002010222121210110000
411111321032111112220000
511034414310021022124
6121545204432240000
74643304453133005
oct525711625265000
9102162128553400
1023494785329664
11753909a8a1200
1227755440a0000
1310157197b024c
145b32219958ac
152ab2475006c9
hex155e4e556a00

23494785329664 has 300 divisors, whose sum is σ = 77080383871722. Its totient is φ = 7119630397440.

The previous prime is 23494785329647. The next prime is 23494785329669. The reversal of 23494785329664 is 46692358749432.

It is a happy number.

23494785329664 is a `hidden beast` number, since 2 + 3 + 4 + 9 + 478 + 5 + 3 + 2 + 96 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23141949329664 + 352836000000 = 4810608^2 + 594000^2 .

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 = 23494785329592 and 23494785329601.

It is not an unprimeable number, because it can be changed into a prime (23494785329669) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2677114 + ... + 7359110.

Almost surely, 223494785329664 is an apocalyptic number.

23494785329664 is a gapful number since it is divisible by the number (24) 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 23494785329664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38540191935861).

23494785329664 is an abundant number, since it is smaller than the sum of its proper divisors (53585598542058).

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

23494785329664 is an equidigital number, since it uses as much as digits as its factorization.

23494785329664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682049 (or 4682013 counting only the distinct ones).

The product of its digits is 1881169920, while the sum is 72.

The spelling of 23494785329664 in words is "twenty-three trillion, four hundred ninety-four billion, seven hundred eighty-five million, three hundred twenty-nine thousand, six hundred sixty-four".