Search a number
-
+
20540552542401 = 3972232831118479
BaseRepresentation
bin1001010101110011110000…
…10101100111100011000001
32200201122202102102211002010
410222321320111213203001
510143014022422324101
6111404111035043133
74220002016562663
oct452717025474301
980648672384063
1020540552542401
1165aa221467891
122378a915a04a9
13b5cc72b04818
1451024d1a0533
15259490c472d6
hex12ae785678c1

20540552542401 has 32 divisors (see below), whose sum is σ = 27892063682560. Its totient is φ = 13444069768704.

The previous prime is 20540552542339. The next prime is 20540552542429. The reversal of 20540552542401 is 10424525504502.

It is not a de Polignac number, because 20540552542401 - 223 = 20540544153793 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20540552542401.

It is not an unprimeable number, because it can be changed into a prime (20540552542501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17805480 + ... + 18923958.

It is an arithmetic number, because the mean of its divisors is an integer number (871626990080).

Almost surely, 220540552542401 is an apocalyptic number.

It is an amenable number.

20540552542401 is a deficient number, since it is larger than the sum of its proper divisors (7351511140159).

20540552542401 is a wasteful number, since it uses less digits than its factorization.

20540552542401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119085.

The product of its (nonzero) digits is 320000, while the sum is 39.

The spelling of 20540552542401 in words is "twenty trillion, five hundred forty billion, five hundred fifty-two million, five hundred forty-two thousand, four hundred one".

Divisors: 1 3 97 223 283 291 669 849 21631 27451 63109 64893 82353 189327 1118479 3355437 6121573 18364719 108492463 249420817 316529557 325477389 748262451 949588671 24193819249 30703367029 70586091211 72581457747 92110101087 211758273633 6846850847467 20540552542401