Search a number
-
+
23100796845000 = 23325473114915877
BaseRepresentation
bin1010100000010100100101…
…10010100011101111001000
310000210102012020210001012100
411100022102302203233020
511011440412443020000
6121044205355513400
74602656165230530
oct520122262435710
9100712166701170
1023100796845000
1173a6aa16452a6
12271110a158860
13cb751b740194
1459c127d5c4c0
152a0d88766a00
hex150292ca3bc8

23100796845000 has 960 divisors, whose sum is σ = 92856576384000. Its totient is φ = 5075239680000.

The previous prime is 23100796844989. The next prime is 23100796845013. The reversal of 23100796845000 is 54869700132.

23100796845000 is a `hidden beast` number, since 2 + 3 + 10 + 0 + 79 + 68 + 4 + 500 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1454977062 + ... + 1454992938.

It is an arithmetic number, because the mean of its divisors is an integer number (96725600400).

It is a 1-persistent number, because it is pandigital, but 2⋅23100796845000 = 46201593690000 is not.

Almost surely, 223100796845000 is an apocalyptic number.

23100796845000 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 23100796845000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46428288192000).

23100796845000 is an abundant number, since it is smaller than the sum of its proper divisors (69755779539000).

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

23100796845000 is a wasteful number, since it uses less digits than its factorization.

23100796845000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16096 (or 16074 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 23100796845000 in words is "twenty-three trillion, one hundred billion, seven hundred ninety-six million, eight hundred forty-five thousand".