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23141920937760 = 25335139173367607
BaseRepresentation
bin1010100001100001001011…
…11110100001011100100000
310000221100100021000102002000
411100300211332201130200
511013124123230002020
6121115130211524000
74605643242240642
oct520604576413440
9100840307012060
1023141920937760
117412485073919
1227190865b9600
13cbb37365a691
145a010993a892
152a1e93c93090
hex150c25fa1720

23141920937760 has 768 divisors, whose sum is σ = 82410106060800. Its totient is φ = 6064761434112.

The previous prime is 23141920937689. The next prime is 23141920937783. The reversal of 23141920937760 is 6773902914132.

23141920937760 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 1 + 9 + 209 + 377 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23141920937697 and 23141920937706.

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 127 ways as a sum of consecutive naturals, for example, 38125075377 + ... + 38125075983.

It is an arithmetic number, because the mean of its divisors is an integer number (107304825600).

Almost surely, 223141920937760 is an apocalyptic number.

23141920937760 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 23141920937760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41205053030400).

23141920937760 is an abundant number, since it is smaller than the sum of its proper divisors (59268185123040).

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

23141920937760 is a wasteful number, since it uses less digits than its factorization.

23141920937760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 23141920937760 in words is "twenty-three trillion, one hundred forty-one billion, nine hundred twenty million, nine hundred thirty-seven thousand, seven hundred sixty".