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146556813 = 31317213003
BaseRepresentation
bin10001011110001…
…00011110001101
3101012202212011010
420233010132031
5300004304223
622313115433
73426466224
oct1057043615
9335685133
10146556813
1175800337
12410b8b79
1324494910
141566dcbb
15ccee393
hex8bc478d

146556813 has 24 divisors (see below), whose sum is σ = 223564768. Its totient is φ = 84877056.

The previous prime is 146556803. The next prime is 146556827. The reversal of 146556813 is 318655641.

146556813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146556813 - 24 = 146556797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146556803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4770 + ... + 17772.

Almost surely, 2146556813 is an apocalyptic number.

146556813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

146556813 is a deficient number, since it is larger than the sum of its proper divisors (77007955).

146556813 is a wasteful number, since it uses less digits than its factorization.

146556813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13053 (or 13036 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 146556813 is about 12106.0651328167. The cubic root of 146556813 is about 527.2322944016.

The spelling of 146556813 in words is "one hundred forty-six million, five hundred fifty-six thousand, eight hundred thirteen".

Divisors: 1 3 13 17 39 51 221 289 663 867 3757 11271 13003 39009 169039 221051 507117 663153 2873663 3757867 8620989 11273601 48852271 146556813