Search a number
-
+
5401854507721 = 72172195312
BaseRepresentation
bin100111010011011011110…
…0111100111101011001001
3201010102010112021020202011
41032212313213213223021
51202000444223221341
615253324441135521
71065161663501200
oct116466747475311
921112115236664
105401854507721
1117a2a06052a71
12732aba18a5a1
13302514998749
14149645d70237
15957abd3db81
hex4e9b79e7ac9

5401854507721 has 27 divisors (see below), whose sum is σ = 6675509648007. Its totient is φ = 4357575472320.

The previous prime is 5401854507671. The next prime is 5401854507767. The reversal of 5401854507721 is 1277054581045.

The square root of 5401854507721 is 2324189.

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

It can be written as a sum of positive squares in only one way, i.e., 4205596070025 + 1196258437696 = 2050755^2 + 1093736^2 .

It is not a de Polignac number, because 5401854507721 - 27 = 5401854507593 is a prime.

It is a super-2 number, since 2×54018545077212 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5401854507121) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 276568726 + ... + 276588256.

Almost surely, 25401854507721 is an apocalyptic number.

5401854507721 is the 2324189-th square number.

5401854507721 is the 1162095-th centered octagonal number.

It is an amenable number.

5401854507721 is a deficient number, since it is larger than the sum of its proper divisors (1273655140286).

5401854507721 is an frugal number, since it uses more digits than its factorization.

5401854507721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39110 (or 19555 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 49.

Multiplying 5401854507721 by its sum of digits (49), we get a square (264690870878329 = 162693232).

5401854507721 divided by its sum of digits (49) gives a square (110241928729 = 3320272).

The spelling of 5401854507721 in words is "five trillion, four hundred one billion, eight hundred fifty-four million, five hundred seven thousand, seven hundred twenty-one".

Divisors: 1 7 17 49 119 289 833 2023 14161 19531 136717 332027 957019 2324189 5644459 16269323 39511213 276578491 381459961 2670219727 6484819337 18691538089 45393735359 110241928729 317756147513 771693501103 5401854507721