Search a number
-
+
50553424373760 = 2113357211312353
BaseRepresentation
bin10110111111010011000101…
…11001101110100000000000
320121222212020001202100201000
423133221202321232200000
523111231403114430020
6255303531134212000
713435235661114300
oct1337514271564000
9217885201670630
1050553424373760
11151206501522a0
125805713654000
132229223bbb719
14c6ab27c71600
155ca025aa7090
hex2dfa62e6e800

50553424373760 has 3456 divisors, whose sum is σ = 236305461974400. Its totient is φ = 10136951193600.

The previous prime is 50553424373747. The next prime is 50553424373773. The reversal of 50553424373760 is 6737342435505.

50553424373760 is a `hidden beast` number, since 5 + 0 + 5 + 534 + 2 + 4 + 37 + 3 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (50553424373747) and next prime (50553424373773).

It is a tau number, because it is divible by the number of its divisors (3456).

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 = 50553424373697 and 50553424373706.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 143210833744 + ... + 143210834096.

It is an arithmetic number, because the mean of its divisors is an integer number (68375423025).

Almost surely, 250553424373760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50553424373760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118152730987200).

50553424373760 is an abundant number, since it is smaller than the sum of its proper divisors (185752037600640).

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

50553424373760 is a wasteful number, since it uses less digits than its factorization.

50553424373760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 54.

The spelling of 50553424373760 in words is "fifty trillion, five hundred fifty-three billion, four hundred twenty-four million, three hundred seventy-three thousand, seven hundred sixty".