Search a number
-
+
53462016252 = 2234199829177
BaseRepresentation
bin110001110010100101…
…011010000011111100
312002222212012211010000
4301302211122003330
51333442234010002
640320552314300
73601560432411
oct616245320374
9162885184100
1053462016252
1120744a07107
12a4403a2990
13507009a458
142832442108
1515cd79c61c
hexc7295a0fc

53462016252 has 60 divisors (see below), whose sum is σ = 140462753200. Its totient is φ = 17731099584.

The previous prime is 53462016187. The next prime is 53462016253. The reversal of 53462016252 is 25261026435.

53462016252 is a `hidden beast` number, since 5 + 3 + 4 + 6 + 20 + 1 + 625 + 2 = 666.

53462016252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×534620162522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53462016253) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 350113 + ... + 479064.

Almost surely, 253462016252 is an apocalyptic number.

It is an amenable number.

53462016252 is an abundant number, since it is smaller than the sum of its proper divisors (87000736948).

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

53462016252 is a wasteful number, since it uses less digits than its factorization.

53462016252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829392 (or 829381 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 53462016252 in words is "fifty-three billion, four hundred sixty-two million, sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 199 324 398 597 796 1194 1791 2388 3582 5373 7164 10746 16119 21492 32238 64476 829177 1658354 2487531 3316708 4975062 7462593 9950124 14925186 22387779 29850372 44775558 67163337 89551116 134326674 165006223 268653348 330012446 495018669 660024892 990037338 1485056007 1980074676 2970112014 4455168021 5940224028 8910336042 13365504063 17820672084 26731008126 53462016252