Search a number
-
+
9930153552053 = 723136745119219
BaseRepresentation
bin1001000010000000101101…
…0001100110100010110101
31022011022110110211001202212
42100200023101212202311
52300143423302131203
633041503301143205
72043300314340260
oct220401321464265
938138413731685
109930153552053
11318939988a979
1211446443bab05
13570542784797
1426489ca87cd7
1512348d0641d8
hex9080b4668b5

9930153552053 has 16 divisors (see below), whose sum is σ = 11850833848320. Its totient is φ = 8135536436016.

The previous prime is 9930153552037. The next prime is 9930153552133. The reversal of 9930153552053 is 3502553510399.

It is a cyclic number.

It is not a de Polignac number, because 9930153552053 - 24 = 9930153552037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9930153551992 and 9930153552010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930153552353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22339523 + ... + 22779696.

It is an arithmetic number, because the mean of its divisors is an integer number (740677115520).

Almost surely, 29930153552053 is an apocalyptic number.

It is an amenable number.

9930153552053 is a deficient number, since it is larger than the sum of its proper divisors (1920680296267).

9930153552053 is a wasteful number, since it uses less digits than its factorization.

9930153552053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45120616.

The product of its (nonzero) digits is 2733750, while the sum is 50.

The spelling of 9930153552053 in words is "nine trillion, nine hundred thirty billion, one hundred fifty-three million, five hundred fifty-two thousand, fifty-three".

Divisors: 1 7 23 161 1367 9569 31441 220087 45119219 315834533 1037742037 7264194259 61677972373 431745806611 1418593364579 9930153552053