Search a number
-
+
2155074019527 = 3112133723352973
BaseRepresentation
bin11111010111000100011…
…010111110000011000111
321122000121210222021002210
4133113010122332003013
5240302042422111102
64330005523234503
7311461512631122
oct37270432760307
97560553867083
102155074019527
11760a64112a00
122a9801b18a33
131282b80ba640
147644008d3b9
153b0d228536c
hex1f5c46be0c7

2155074019527 has 96 divisors (see below), whose sum is σ = 3508341729984. Its totient is φ = 1167994460160.

The previous prime is 2155074019517. The next prime is 2155074019537. The reversal of 2155074019527 is 7259104705512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2155074019517) and next prime (2155074019537).

It is not a de Polignac number, because 2155074019527 - 26 = 2155074019463 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2155074019517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40656013 + ... + 40708985.

It is an arithmetic number, because the mean of its divisors is an integer number (36545226354).

Almost surely, 22155074019527 is an apocalyptic number.

2155074019527 is a deficient number, since it is larger than the sum of its proper divisors (1353267710457).

2155074019527 is a wasteful number, since it uses less digits than its factorization.

2155074019527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53281 (or 53270 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 48.

The spelling of 2155074019527 in words is "two trillion, one hundred fifty-five billion, seventy-four million, nineteen thousand, five hundred twenty-seven".

Divisors: 1 3 11 13 33 37 39 111 121 143 233 363 407 429 481 699 1221 1443 1573 2563 3029 4477 4719 5291 7689 8621 9087 13431 15873 25863 28193 33319 52973 58201 84579 94831 99957 112073 158919 174603 284493 336219 366509 582703 688649 1043141 1099527 1232803 1748109 1960001 2065947 3129423 3698409 5880003 6409733 7575139 12342709 13560833 19229199 21560011 22725417 25480013 37028127 40682499 64680033 76440039 83326529 135769799 160455217 237160121 249979587 280280143 407309397 456680233 481365651 711480363 840840429 1370040699 1493467789 1765007387 3083081573 4480403367 5023482563 5295022161 5936843029 9249244719 15070447689 17810529087 19415081257 55258308193 58245243771 65305273319 165774924579 195915819957 718358006509 2155074019527