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146477684920 = 2357523134589
BaseRepresentation
bin1000100001101011000…
…0000001100010111000
3112000002021121100221111
42020122300001202320
54344441241404140
6151142501050104
713403565531040
oct2103260014270
9460067540844
10146477684920
115713691a756
122447b0b6934
1310a748cba58
147137a64720
153c247657ea
hex221ac018b8

146477684920 has 32 divisors (see below), whose sum is σ = 376656904800. Its totient is φ = 50220920448.

The previous prime is 146477684893. The next prime is 146477684921. The reversal of 146477684920 is 29486774641.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146477684921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 261567015 + ... + 261567574.

It is an arithmetic number, because the mean of its divisors is an integer number (11770528275).

Almost surely, 2146477684920 is an apocalyptic number.

146477684920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146477684920 is an abundant number, since it is smaller than the sum of its proper divisors (230179219880).

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

146477684920 is a wasteful number, since it uses less digits than its factorization.

146477684920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523134607 (or 523134603 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 58.

The spelling of 146477684920 in words is "one hundred forty-six billion, four hundred seventy-seven million, six hundred eighty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 523134589 1046269178 2092538356 2615672945 3661942123 4185076712 5231345890 7323884246 10462691780 14647768492 18309710615 20925383560 29295536984 36619421230 73238842460 146477684920