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146804160029 = 4122915635761
BaseRepresentation
bin1000100010111000110…
…1011011011000011101
3112000221000221000121012
42020232031123120131
54401123331110104
6151235122345005
713414641525362
oct2105615333035
9460830830535
10146804160029
115729413729a
12245504bb165
1310ac74392a7
14716916a469
153c43253d6e
hex222e35b61d

146804160029 has 8 divisors (see below), whose sum is σ = 151041460920. Its totient is φ = 142598131200.

The previous prime is 146804159993. The next prime is 146804160071. The reversal of 146804160029 is 920061408641.

146804160029 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 51216216100 + 95587943929 = 226310^2 + 309173^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 146804160029 - 28 = 146804159773 is a prime.

It is a super-2 number, since 2×1468041600292 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146804165029) 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, 7808492 + ... + 7827269.

It is an arithmetic number, because the mean of its divisors is an integer number (18880182615).

Almost surely, 2146804160029 is an apocalyptic number.

It is an amenable number.

146804160029 is a deficient number, since it is larger than the sum of its proper divisors (4237300891).

146804160029 is a wasteful number, since it uses less digits than its factorization.

146804160029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15636031.

The product of its (nonzero) digits is 82944, while the sum is 41.

The spelling of 146804160029 in words is "one hundred forty-six billion, eight hundred four million, one hundred sixty thousand, twenty-nine".

Divisors: 1 41 229 9389 15635761 641066201 3580589269 146804160029