Search a number
-
+
55150173112320 = 2113451113247761
BaseRepresentation
bin11001000101000101001100…
…11110100100100000000000
321020021022020101110220220000
430202202212132210200000
524212040023304043240
6313143350104520000
714421316462525206
oct1442424636444000
9236238211426800
1055150173112320
1116633069a61630
126228581480000
1324a083cb98500
14d893d5725076
156598b1258430
hex3228a67a4800

55150173112320 has 2880 divisors, whose sum is σ = 238791614181120. Its totient is φ = 12062844518400.

The previous prime is 55150173112319. The next prime is 55150173112469. The reversal of 55150173112320 is 2321137105155.

55150173112320 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 0 + 17 + 311 + 2 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 72470660740 + ... + 72470661500.

It is an arithmetic number, because the mean of its divisors is an integer number (82913754924).

Almost surely, 255150173112320 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 55150173112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119395807090560).

55150173112320 is an abundant number, since it is smaller than the sum of its proper divisors (183641441068800).

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

55150173112320 is a wasteful number, since it uses less digits than its factorization.

55150173112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 55150173112320 in words is "fifty-five trillion, one hundred fifty billion, one hundred seventy-three million, one hundred twelve thousand, three hundred twenty".