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146093615756929 = 5919786131145933
BaseRepresentation
bin100001001101111100010010…
…000100100011011010000001
3201011021102011021100021200001
4201031330102010203122001
5123122044211113210204
61234414251444400001
742525625663433221
oct4115742204433201
9634242137307601
10146093615756929
1142605a55495455
1214475b083a6001
1363697519cb8b9
142810d7c2aa081
1511d536be764a4
hex84df12123681

146093615756929 has 16 divisors (see below), whose sum is σ = 149326696981440. Its totient is φ = 142885792082880.

The previous prime is 146093615756827. The next prime is 146093615756953. The reversal of 146093615756929 is 929657516390641.

It is a cyclic number.

It is not a de Polignac number, because 146093615756929 - 223 = 146093607368321 is a prime.

It is a super-2 number, since 2×1460936157569292 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146093615753929) 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 15 ways as a sum of consecutive naturals, for example, 1001027647 + ... + 1001173579.

It is an arithmetic number, because the mean of its divisors is an integer number (9332918561340).

Almost surely, 2146093615756929 is an apocalyptic number.

It is an amenable number.

146093615756929 is a deficient number, since it is larger than the sum of its proper divisors (3233081224511).

146093615756929 is a wasteful number, since it uses less digits than its factorization.

146093615756929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232320.

The product of its (nonzero) digits is 661348800, while the sum is 73.

The spelling of 146093615756929 in words is "one hundred forty-six trillion, ninety-three billion, six hundred fifteen million, seven hundred fifty-six thousand, nine hundred twenty-nine".

Divisors: 1 59 197 11623 86131 145933 5081729 8610047 16967807 28748801 1001100613 1696179259 12569355223 741591958157 2476162978931 146093615756929