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15214975801 = 2323121732
BaseRepresentation
bin11100010101110001…
…00001101100111001
31110021100122212001021
432022320201230321
5222130013211201
610553433422441
71046020106014
oct161270415471
943240585037
1015214975801
1164a8503573
122b4756aa21
13158624797c
14a449c437b
155e0b2aea1
hex38ae21b39

15214975801 has 27 divisors (see below), whose sum is σ = 16530430287. Its totient is φ = 14002578480.

The previous prime is 15214975799. The next prime is 15214975807. The reversal of 15214975801 is 10857941251.

The square root of 15214975801 is 123349.

It is a perfect power (a square), and thus also a powerful number.

15214975801 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 only one way, i.e., 13840346025 + 1374629776 = 117645^2 + 37076^2 .

It is not a de Polignac number, because 15214975801 - 21 = 15214975799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15214975807) 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 26 ways as a sum of consecutive naturals, for example, 87947751 + ... + 87947923.

Almost surely, 215214975801 is an apocalyptic number.

15214975801 is the 123349-th square number.

15214975801 is the 61675-th centered octagonal number.

It is an amenable number.

15214975801 is a deficient number, since it is larger than the sum of its proper divisors (1315454486).

15214975801 is an frugal number, since it uses more digits than its factorization.

15214975801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 43.

The spelling of 15214975801 in words is "fifteen billion, two hundred fourteen million, nine hundred seventy-five thousand, eight hundred one".

Divisors: 1 23 31 173 529 713 961 3979 5363 16399 22103 29929 91517 123349 166253 508369 688367 927799 2837027 3823819 15832441 21339377 28761769 87947837 490805671 661520687 15214975801