Search a number
-
+
55450148382720 = 2113757213323
BaseRepresentation
bin11001001101110011111100…
…11001011010100000000000
321021022222112011212120000000
430212321332121122200000
524231443400441221340
6313533240240000000
714452066240332600
oct1446717631324000
9237288464776000
1055450148382720
11167393041a8143
12627673a600000
1324c2c07849000
14d99b3146ac00
156625bb67ed30
hex326e7e65a800

55450148382720 has 4608 divisors, whose sum is σ = 262386843264000. Its totient is φ = 11190703620096.

The previous prime is 55450148382703. The next prime is 55450148382763. The reversal of 55450148382720 is 2728384105455.

It is a happy number.

55450148382720 is a `hidden beast` number, since 5 + 5 + 4 + 50 + 148 + 382 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2410876016629 + ... + 2410876016651.

It is an arithmetic number, because the mean of its divisors is an integer number (56941589250).

Almost surely, 255450148382720 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 55450148382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131193421632000).

55450148382720 is an abundant number, since it is smaller than the sum of its proper divisors (206936694881280).

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

55450148382720 is an frugal number, since it uses more digits than its factorization.

55450148382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 55450148382720 in words is "fifty-five trillion, four hundred fifty billion, one hundred forty-eight million, three hundred eighty-two thousand, seven hundred twenty".