Search a number
-
+
160021586431 = 7297190712241
BaseRepresentation
bin1001010100001000000…
…1111010000111111111
3120022001011211212000101
42111002001322013333
510110211011231211
6201302441541531
714363325020260
oct2250201720777
9508034755011
10160021586431
1161957017393
122701aaa48a7
1312122887165
147a60732967
1542688035c1
hex254207a1ff

160021586431 has 32 divisors (see below), whose sum is σ = 192079918080. Its totient is φ = 130411814400.

The previous prime is 160021586411. The next prime is 160021586453. The reversal of 160021586431 is 134685120061.

It is a happy number.

160021586431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 160021586431 - 27 = 160021586303 is a prime.

It is a super-2 number, since 2×1600215864312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160021586411) 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 31 ways as a sum of consecutive naturals, for example, 13066471 + ... + 13078711.

It is an arithmetic number, because the mean of its divisors is an integer number (6002497440).

Almost surely, 2160021586431 is an apocalyptic number.

160021586431 is a deficient number, since it is larger than the sum of its proper divisors (32058331649).

160021586431 is a wasteful number, since it uses less digits than its factorization.

160021586431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255.

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 160021586431 in words is "one hundred sixty billion, twenty-one million, five hundred eighty-six thousand, four hundred thirty-one".

Divisors: 1 7 29 71 203 497 907 2059 6349 12241 14413 26303 64397 85687 184121 354989 450779 869111 1867513 2484923 6083777 11102587 13072591 25204219 77718109 176429533 321975023 788283677 2253825161 5517985739 22860226633 160021586431