Search a number
-
+
20193922540008 = 233272913271041169
BaseRepresentation
bin1001001011101110000111…
…00101000110000111101000
32122111112001011221020100100
410211313003211012013220
510121324123132240013
6110540543203105400
74152651140303430
oct445670345060750
978445034836310
1020193922540008
116486215901628
122321873972260
13b36381485c29
144db5691292c0
152504549c1473
hex125dc39461e8

20193922540008 has 192 divisors, whose sum is σ = 64709131968000. Its totient is φ = 5566533912576.

The previous prime is 20193922540003. The next prime is 20193922540009. The reversal of 20193922540008 is 80004522939102.

20193922540008 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 392 + 254 + 0 + 0 + 0 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (20193922540003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18874848 + ... + 19916016.

It is an arithmetic number, because the mean of its divisors is an integer number (337026729000).

Almost surely, 220193922540008 is an apocalyptic number.

20193922540008 is a gapful number since it is divisible by the number (28) 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 20193922540008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32354565984000).

20193922540008 is an abundant number, since it is smaller than the sum of its proper divisors (44515209427992).

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

20193922540008 is a wasteful number, since it uses less digits than its factorization.

20193922540008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042544 (or 1042537 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20193922540008 in words is "twenty trillion, one hundred ninety-three billion, nine hundred twenty-two million, five hundred forty thousand, eight".