Search a number
-
+
47423080793088 = 21034711132112707
BaseRepresentation
bin10101100100001100010111…
…11000101000010000000000
320012220121021001001010120000
422302012023320220100000
522203434432140334323
6244505510151320000
712663130102523010
oct1262061370502000
9205817231033500
1047423080793088
1114124019877220
12539aab1980000
13205cc9226a930
14b9d409dd3c40
155738b3282e43
hex2b218be28400

47423080793088 has 1760 divisors, whose sum is σ = 191111579839488. Its totient is φ = 11312101785600.

The previous prime is 47423080793083. The next prime is 47423080793107. The reversal of 47423080793088 is 88039708032474.

47423080793088 is a `hidden beast` number, since 47 + 423 + 0 + 8 + 0 + 7 + 93 + 0 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (47423080793083) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17518683831 + ... + 17518686537.

Almost surely, 247423080793088 is an apocalyptic number.

47423080793088 is a gapful number since it is divisible by the number (48) 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 47423080793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95555789919744).

47423080793088 is an abundant number, since it is smaller than the sum of its proper divisors (143688499046400).

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

47423080793088 is a wasteful number, since it uses less digits than its factorization.

47423080793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 47423080793088 in words is "forty-seven trillion, four hundred twenty-three billion, eighty million, seven hundred ninety-three thousand, eighty-eight".