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145491063168 = 2731134443907
BaseRepresentation
bin1000011101111111110…
…0010111000110000000
3111220112112002210100010
42013133330113012000
54340431203010133
6150500534224520
713340255426553
oct2073774270600
9456475083303
10145491063168
115677aa04180
12242447b5140
1310948396cb9
1470829da69a
153bb7d28263
hex21dff17180

145491063168 has 64 divisors (see below), whose sum is σ = 421593433920. Its totient is φ = 44088199680.

The previous prime is 145491063139. The next prime is 145491063169. The reversal of 145491063168 is 861360194541.

145491063168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145491063169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17217730 + ... + 17226177.

It is an arithmetic number, because the mean of its divisors is an integer number (6587397405).

Almost surely, 2145491063168 is an apocalyptic number.

It is an amenable number.

145491063168 is an abundant number, since it is smaller than the sum of its proper divisors (276102370752).

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

145491063168 is a wasteful number, since it uses less digits than its factorization.

145491063168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34443935 (or 34443923 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 145491063168 in words is "one hundred forty-five billion, four hundred ninety-one million, sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1408 2112 4224 34443907 68887814 103331721 137775628 206663442 275551256 378882977 413326884 551102512 757765954 826653768 1102205024 1136648931 1515531908 1653307536 2204410048 2273297862 3031063816 3306615072 4408820096 4546595724 6062127632 6613230144 9093191448 12124255264 13226460288 18186382896 24248510528 36372765792 48497021056 72745531584 145491063168