Search a number
-
+
147102237696 = 21034143157173
BaseRepresentation
bin1000100011111111111…
…0100000010000000000
3112001200210210221021210
42020333332200100000
54402231133101241
6151324451250120
713425221250441
oct2107776402000
9461623727253
10147102237696
1157427418477
12246142a9940
1310b441130cb
14719699d2c8
153c5e4d3316
hex223ffa0400

147102237696 has 352 divisors, whose sum is σ = 415993108608. Its totient is φ = 46159626240.

The previous prime is 147102237641. The next prime is 147102237743. The reversal of 147102237696 is 696732201741.

147102237696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850301866 + ... + 850302038.

It is an arithmetic number, because the mean of its divisors is an integer number (1181798604).

Almost surely, 2147102237696 is an apocalyptic number.

147102237696 is a gapful number since it is divisible by the number (16) 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 147102237696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207996554304).

147102237696 is an abundant number, since it is smaller than the sum of its proper divisors (268890870912).

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

147102237696 is a wasteful number, since it uses less digits than its factorization.

147102237696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 147102237696 in words is "one hundred forty-seven billion, one hundred two million, two hundred thirty-seven thousand, six hundred ninety-six".