Search a number
-
+
147158000640 = 210355761277
BaseRepresentation
bin1000100100001101001…
…1001110010000000000
3112001211200201222200000
42021003103032100000
54402334422010030
6151334202400000
713426466236560
oct2110323162000
9461750658600
10147158000640
1157455944a52
122462ab00000
1310b52838631
1471a0156da0
153c6434a860
hex22434ce400

147158000640 has 1056 divisors, whose sum is σ = 616448711424. Its totient is φ = 32965263360.

The previous prime is 147158000603. The next prime is 147158000653. The reversal of 147158000640 is 46000851741.

It is a happy number.

147158000640 is a `hidden beast` number, since 1 + 4 + 7 + 1 + 5 + 8 + 0 + 0 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 147158000595 and 147158000604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 531256182 + ... + 531256458.

Almost surely, 2147158000640 is an apocalyptic number.

147158000640 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 147158000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308224355712).

147158000640 is an abundant number, since it is smaller than the sum of its proper divisors (469290710784).

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

147158000640 is an equidigital number, since it uses as much as digits as its factorization.

147158000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 147158000640 in words is "one hundred forty-seven billion, one hundred fifty-eight million, six hundred forty", and thus it is an aban number.