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147293778912 = 253721723531511
BaseRepresentation
bin1000100100101101100…
…1001011001111100000
3112002012011020020102220
42021023121023033200
54403124201411122
6151355452511040
713433035314600
oct2111331131740
9462164206386
10147293778912
11575155531a5
122466847b480
1310b749c81c7
1471b41bcc00
153c7121b25c
hex224b64b3e0

147293778912 has 576 divisors, whose sum is σ = 506646088704. Its totient is φ = 37146869760.

The previous prime is 147293778901. The next prime is 147293778959. The reversal of 147293778912 is 219877392741.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97480237 + ... + 97481747.

It is an arithmetic number, because the mean of its divisors is an integer number (879593904).

Almost surely, 2147293778912 is an apocalyptic number.

147293778912 is a gapful number since it is divisible by the number (12) 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 147293778912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253323044352).

147293778912 is an abundant number, since it is smaller than the sum of its proper divisors (359352309792).

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

147293778912 is a wasteful number, since it uses less digits than its factorization.

147293778912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1616 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 60.

The spelling of 147293778912 in words is "one hundred forty-seven billion, two hundred ninety-three million, seven hundred seventy-eight thousand, nine hundred twelve".