Search a number
-
+
60161512320 = 273657132109
BaseRepresentation
bin111000000001111001…
…111101001110000000
312202021202111111000000
4320001321331032000
51441202321343240
643345434000000
74226600263050
oct700171751600
9182252444000
1060161512320
1123572672718
12b7abb76000
13589a05a100
142caa0d7560
151871a08430
hexe01e7d380

60161512320 has 1344 divisors, whose sum is σ = 269305581600. Its totient is φ = 12576964608.

The previous prime is 60161512259. The next prime is 60161512363. The reversal of 60161512320 is 2321516106.

60161512320 is a `hidden beast` number, since 6 + 0 + 1 + 615 + 1 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×601615123204 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 551940426 + ... + 551940534.

Almost surely, 260161512320 is an apocalyptic number.

60161512320 is a gapful number since it is divisible by the number (60) 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 60161512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134652790800).

60161512320 is an abundant number, since it is smaller than the sum of its proper divisors (209144069280).

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

60161512320 is a wasteful number, since it uses less digits than its factorization.

60161512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 60161512320 in words is "sixty billion, one hundred sixty-one million, five hundred twelve thousand, three hundred twenty".