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147149569920 = 2735313078053
BaseRepresentation
bin1000100100001011001…
…1000011111110000000
3112001211002212122220010
42021002303003332000
54402330242214140
6151333301544520
713426334464323
oct2110263037600
9461732778803
10147149569920
1157451106911
1224628115140
1310b50b76142
14719cda07ba
153c63732880
hex2242cc3f80

147149569920 has 256 divisors, whose sum is σ = 485806970880. Its totient is φ = 37845688320.

The previous prime is 147149569907. The next prime is 147149569921. The reversal of 147149569920 is 29965941741.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147149569921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18268614 + ... + 18276666.

It is an arithmetic number, because the mean of its divisors is an integer number (1897683480).

Almost surely, 2147149569920 is an apocalyptic number.

147149569920 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 147149569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242903485440).

147149569920 is an abundant number, since it is smaller than the sum of its proper divisors (338657400960).

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

147149569920 is a wasteful number, since it uses less digits than its factorization.

147149569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8413 (or 8401 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 147149569920 in words is "one hundred forty-seven billion, one hundred forty-nine million, five hundred sixty-nine thousand, nine hundred twenty".