Search a number
-
+
23073814306620 = 2236571122278231
BaseRepresentation
bin1010011111100010010101…
…00000010101111100111100
310000200211112210101002000000
411033301022200111330330
511011020132430302440
6121023544114234300
74601012425362060
oct517611240257474
9100624483332000
1023073814306620
117396605708900
122707a39885990
13cb4b0b56453c
1459aac8583aa0
152a03099d0730
hex14fc4a815f3c

23073814306620 has 1008 divisors, whose sum is σ = 91675078193664. Its totient is φ = 4772857478400.

The previous prime is 23073814306591. The next prime is 23073814306637. The reversal of 23073814306620 is 2660341837032.

23073814306620 is a `hidden beast` number, since 2 + 3 + 0 + 7 + 3 + 8 + 14 + 3 + 0 + 6 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2803277905 + ... + 2803286135.

It is an arithmetic number, because the mean of its divisors is an integer number (90947498208).

Almost surely, 223073814306620 is an apocalyptic number.

23073814306620 is a gapful number since it is divisible by the number (20) 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 23073814306620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45837539096832).

23073814306620 is an abundant number, since it is smaller than the sum of its proper divisors (68601263887044).

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

23073814306620 is a wasteful number, since it uses less digits than its factorization.

23073814306620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8514 (or 8486 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 23073814306620 in words is "twenty-three trillion, seventy-three billion, eight hundred fourteen million, three hundred six thousand, six hundred twenty".