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147137264640 = 2103451971263
BaseRepresentation
bin1000100100001000010…
…0000111110000000000
3112001210020201111020000
42021002010013300000
54402314114432030
6151332142120000
713426125054012
oct2110204076000
9461706644200
10147137264640
1157445171763
1224623b80000
1310b4b458202
14719b4ba1b2
153c62601860
hex2242107c00

147137264640 has 880 divisors, whose sum is σ = 564964139520. Its totient is φ = 36508631040.

The previous prime is 147137264633. The next prime is 147137264641. The reversal of 147137264640 is 46462731741.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147137264641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 559457149 + ... + 559457411.

It is an arithmetic number, because the mean of its divisors is an integer number (642004704).

Almost surely, 2147137264640 is an apocalyptic number.

147137264640 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 147137264640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282482069760).

147137264640 is an abundant number, since it is smaller than the sum of its proper divisors (417826874880).

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

147137264640 is a wasteful number, since it uses less digits than its factorization.

147137264640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 147137264640 in words is "one hundred forty-seven billion, one hundred thirty-seven million, two hundred sixty-four thousand, six hundred forty".