Search a number
-
+
13770272484 = 223597146051
BaseRepresentation
bin11001101001100010…
…11010111011100100
31022112200012022200000
430310301122323210
5211200142204414
610154224421300
7665145246003
oct146461327344
938480168600
1013770272484
115926a61591
122803777830
1313b5b46937
14948b96c3a
15558da5b09
hex334c5aee4

13770272484 has 72 divisors (see below), whose sum is σ = 36469768608. Its totient is φ = 4542739200.

The previous prime is 13770272479. The next prime is 13770272489. The reversal of 13770272484 is 48427207731.

13770272484 is a `hidden beast` number, since 1 + 37 + 70 + 2 + 72 + 484 = 666.

It is an interprime number because it is at equal distance from previous prime (13770272479) and next prime (13770272489).

It is a super-3 number, since 3×137702724843 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13770272489) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21259 + ... + 167309.

It is an arithmetic number, because the mean of its divisors is an integer number (506524564).

Almost surely, 213770272484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13770272484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234884304).

13770272484 is an abundant number, since it is smaller than the sum of its proper divisors (22699496124).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13770272484 is a wasteful number, since it uses less digits than its factorization.

13770272484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146167 (or 146153 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 13770272484 in words is "thirteen billion, seven hundred seventy million, two hundred seventy-two thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 97 108 162 194 243 291 324 388 486 582 873 972 1164 1746 2619 3492 5238 7857 10476 15714 23571 31428 47142 94284 146051 292102 438153 584204 876306 1314459 1752612 2628918 3943377 5257836 7886754 11830131 14166947 15773508 23660262 28333894 35490393 42500841 47320524 56667788 70980786 85001682 127502523 141961572 170003364 255005046 382507569 510010092 765015138 1147522707 1530030276 2295045414 3442568121 4590090828 6885136242 13770272484