Search a number
-
+
145176256966890 = 23513733524551031
BaseRepresentation
bin100001000000100101111011…
…001110011111000011101010
3201001000201021221221022010010
4201000211323032133003222
5123012031433240420030
61232433015102032350
742402431661404322
oct4100457316370352
9631021257838103
10145176256966890
11422919a5358796
121434816a8786b6
1363010a6b092c6
1427bc7d56ca282
1511bb57a9ee6b0
hex84097b39f0ea

145176256966890 has 32 divisors (see below), whose sum is σ = 348676784493696. Its totient is φ = 38685472105280.

The previous prime is 145176256966889. The next prime is 145176256966927. The reversal of 145176256966890 is 98669652671541.

It is a super-2 number, since 2×1451762569668902 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762234326 + ... + 1762316705.

It is an arithmetic number, because the mean of its divisors is an integer number (10896149515428).

Almost surely, 2145176256966890 is an apocalyptic number.

145176256966890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145176256966890 is an abundant number, since it is smaller than the sum of its proper divisors (203500527526806).

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

145176256966890 is a wasteful number, since it uses less digits than its factorization.

145176256966890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524552414.

The product of its (nonzero) digits is 1175731200, while the sum is 75.

The spelling of 145176256966890 in words is "one hundred forty-five trillion, one hundred seventy-six billion, two hundred fifty-six million, nine hundred sixty-six thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 1373 2746 4119 6865 8238 13730 20595 41190 3524551031 7049102062 10573653093 17622755155 21147306186 35245510310 52868265465 105736530930 4839208565563 9678417131126 14517625696689 24196042827815 29035251393378 48392085655630 72588128483445 145176256966890