Search a number
-
+
53202611352 = 233111579111409
BaseRepresentation
bin110001100011000111…
…110110110010011000
312002022210002200111010
4301203013312302120
51332424332030402
640235124333520
73562260510042
oct614307666230
9162283080433
1053202611352
112062153a3a0
12a3895442a0
13502b414027
142809bd8a92
1515b5b0ba6c
hexc631f6c98

53202611352 has 128 divisors (see below), whose sum is σ = 146286259200. Its totient is φ = 15990374400.

The previous prime is 53202611327. The next prime is 53202611393. The reversal of 53202611352 is 25311620235.

53202611352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37758424 + ... + 37759832.

It is an arithmetic number, because the mean of its divisors is an integer number (1142861400).

Almost surely, 253202611352 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 53202611352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73143129600).

53202611352 is an abundant number, since it is smaller than the sum of its proper divisors (93083647848).

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

53202611352 is a wasteful number, since it uses less digits than its factorization.

53202611352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2497 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 53202611352 in words is "fifty-three billion, two hundred two million, six hundred eleven thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 157 264 314 471 628 911 942 1256 1409 1727 1822 1884 2733 2818 3454 3644 3768 4227 5181 5466 5636 6908 7288 8454 10021 10362 10932 11272 13816 15499 16908 20042 20724 21864 30063 30998 33816 40084 41448 46497 60126 61996 80168 92994 120252 123992 143027 185988 221213 240504 286054 371976 429081 442426 572108 663639 858162 884852 1144216 1283599 1327278 1573297 1716324 1769704 2433343 2567198 2654556 3146594 3432648 3850797 4719891 4866686 5134396 5309112 6293188 7300029 7701594 9439782 9733372 10268792 12586376 14119589 14600058 15403188 18879564 19466744 28239178 29200116 30806376 37759128 42358767 56478356 58400232 84717534 112956712 169435068 201525043 338870136 403050086 604575129 806100172 1209150258 1612200344 2216775473 2418300516 4433550946 4836601032 6650326419 8867101892 13300652838 17734203784 26601305676 53202611352