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147228755520 = 263572112389139
BaseRepresentation
bin1000100100011110000…
…1001000011001000000
3112002000121212201010010
42021013201020121000
54403011030134040
6151345211104520
713431315526200
oct2110741103100
9462017781103
10147228755520
1157491881160
122464a742140
1310b643ac922
1471a96d4400
153c6a674e80
hex2247848640

147228755520 has 1344 divisors, whose sum is σ = 630453196800. Its totient is φ = 28725903360.

The previous prime is 147228755519. The next prime is 147228755539. The reversal of 147228755520 is 25557822741.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 147228755520.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1059199611 + ... + 1059199749.

It is an arithmetic number, because the mean of its divisors is an integer number (469087200).

Almost surely, 2147228755520 is an apocalyptic number.

147228755520 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 147228755520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315226598400).

147228755520 is an abundant number, since it is smaller than the sum of its proper divisors (483224441280).

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

147228755520 is a wasteful number, since it uses less digits than its factorization.

147228755520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 48.

The spelling of 147228755520 in words is "one hundred forty-seven billion, two hundred twenty-eight million, seven hundred fifty-five thousand, five hundred twenty".