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23046147936 = 2532723601827
BaseRepresentation
bin10101011101101010…
…000100111101100000
32012111010101121122200
4111131222010331200
5334144303213221
614330502533200
71444051011450
oct253552047540
965433347580
1023046147936
119856a4a059
124572137200
1322337c9136
141188aa1d60
158ed3c8426
hex55da84f60

23046147936 has 288 divisors, whose sum is σ = 78381209088. Its totient is φ = 6280243200.

The previous prime is 23046147923. The next prime is 23046147941. The reversal of 23046147936 is 63974164032.

23046147936 is a `hidden beast` number, since 23 + 0 + 4 + 614 + 7 + 9 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×230461479362 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23046147891 and 23046147900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27866755 + ... + 27867581.

It is an arithmetic number, because the mean of its divisors is an integer number (272156976).

Almost surely, 223046147936 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 23046147936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39190604544).

23046147936 is an abundant number, since it is smaller than the sum of its proper divisors (55335061152).

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

23046147936 is a wasteful number, since it uses less digits than its factorization.

23046147936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 23046147936 in words is "twenty-three billion, forty-six million, one hundred forty-seven thousand, nine hundred thirty-six".