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146253098964 = 22371741108321
BaseRepresentation
bin1000100000110101011…
…1010010111111010100
3111222111122000012221010
42020031113102333110
54344011243131324
6151104315252220
713365200554350
oct2101527227724
9458448005833
10146253098964
1157031074a25
1224417a4a070
1310a3a216b5b
147115cc2460
153c0eba1829
hex220d5d2fd4

146253098964 has 24 divisors (see below), whose sum is σ = 390008264128. Its totient is φ = 41786599680.

The previous prime is 146253098963. The next prime is 146253098989. The reversal of 146253098964 is 469890352641.

146253098964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146253098963) 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, 870554077 + ... + 870554244.

Almost surely, 2146253098964 is an apocalyptic number.

146253098964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146253098964 is an abundant number, since it is smaller than the sum of its proper divisors (243755165164).

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

146253098964 is a wasteful number, since it uses less digits than its factorization.

146253098964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1741108335 (or 1741108333 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 57.

The spelling of 146253098964 in words is "one hundred forty-six billion, two hundred fifty-three million, ninety-eight thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1741108321 3482216642 5223324963 6964433284 10446649926 12187758247 20893299852 24375516494 36563274741 48751032988 73126549482 146253098964