Search a number
-
+
145927111680 = 2103457243167
BaseRepresentation
bin1000011111100111101…
…1110000010000000000
3111221122220121100110000
42013321323300100000
54342324320033210
6151012112240000
713354131661200
oct2077173602000
9457586540400
10145927111680
1156984060949
1224346840000
13109b781a67c
1470c48a6400
153be125cac0
hex21f9ef0400

145927111680 has 1320 divisors, whose sum is σ = 626168587968. Its totient is φ = 32383991808.

The previous prime is 145927111679. The next prime is 145927111709. The reversal of 145927111680 is 86111729541.

145927111680 is a `hidden beast` number, since 1 + 459 + 2 + 7 + 1 + 116 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 873814957 + ... + 873815123.

Almost surely, 2145927111680 is an apocalyptic number.

145927111680 is a gapful number since it is divisible by the number (10) 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 145927111680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313084293984).

145927111680 is an abundant number, since it is smaller than the sum of its proper divisors (480241476288).

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

145927111680 is a wasteful number, since it uses less digits than its factorization.

145927111680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 145927111680 in words is "one hundred forty-five billion, nine hundred twenty-seven million, one hundred eleven thousand, six hundred eighty".