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145948755456 = 293274524701
BaseRepresentation
bin1000011111101100111…
…0010100011000000000
3111221201102022222010100
42013323032110120000
54342400340133311
6151014204202400
713354513644450
oct2077316243000
9457642288110
10145948755456
11569952a4169
1224351b39400
13109bc15803a
1470c76dbd60
153be30d5a56
hex21fb394600

145948755456 has 120 divisors (see below), whose sum is σ = 481392095184. Its totient is φ = 41699635200.

The previous prime is 145948755451. The next prime is 145948755457. The reversal of 145948755456 is 654557849541.

It is a happy number.

145948755456 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 4 + 87 + 5 + 545 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 145948755393 and 145948755402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145948755451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2230095 + ... + 2294606.

Almost surely, 2145948755456 is an apocalyptic number.

145948755456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145948755456 is an abundant number, since it is smaller than the sum of its proper divisors (335443339728).

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

145948755456 is an equidigital number, since it uses as much as digits as its factorization.

145948755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524732 (or 4524713 counting only the distinct ones).

The product of its digits is 120960000, while the sum is 63.

The spelling of 145948755456 in words is "one hundred forty-five billion, nine hundred forty-eight million, seven hundred fifty-five thousand, four hundred fifty-six".