Search a number
-
+
23424491912640 = 2635721341934277
BaseRepresentation
bin1010101001101111100001…
…00001001111110111000000
310001221100201010011020002020
411110313300201033313000
511032241324412201030
6121453021340321440
74635235514012100
oct524676041176700
9101840633136066
1023424491912640
1175112a9011625
1227639a6b43280
13100bbc6631270
145ada74001200
152a94d1281510
hex154df084fdc0

23424491912640 has 672 divisors, whose sum is σ = 95442820893504. Its totient is φ = 4821761064960.

The previous prime is 23424491912621. The next prime is 23424491912663. The reversal of 23424491912640 is 4621919442432.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24605182 + ... + 25539458.

It is an arithmetic number, because the mean of its divisors is an integer number (142028007282).

Almost surely, 223424491912640 is an apocalyptic number.

23424491912640 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 23424491912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47721410446752).

23424491912640 is an abundant number, since it is smaller than the sum of its proper divisors (72018328980864).

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

23424491912640 is a wasteful number, since it uses less digits than its factorization.

23424491912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934365 (or 934348 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 23424491912640 in words is "twenty-three trillion, four hundred twenty-four billion, four hundred ninety-one million, nine hundred twelve thousand, six hundred forty".