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147493041920 = 2857219612029
BaseRepresentation
bin1000100101011101000…
…1010011011100000000
3112002201001011211220022
42021113101103130000
54404031204320140
6151431331433012
713441005112400
oct2112721233400
9462631154808
10147493041920
1157607a82474
1224703155768
1310ba7084c03
1471d284c800
153c8397c0b5
hex2257453700

147493041920 has 432 divisors, whose sum is σ = 439910906400. Its totient is φ = 47098920960.

The previous prime is 147493041893. The next prime is 147493041929. The reversal of 147493041920 is 29140394741.

147493041920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (147493041929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72691466 + ... + 72693494.

Almost surely, 2147493041920 is an apocalyptic number.

147493041920 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 147493041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219955453200).

147493041920 is an abundant number, since it is smaller than the sum of its proper divisors (292417864480).

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

147493041920 is a wasteful number, since it uses less digits than its factorization.

147493041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 147493041920 in words is "one hundred forty-seven billion, four hundred ninety-three million, forty-one thousand, nine hundred twenty".