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52356528828 = 223241137258919
BaseRepresentation
bin110000110000101100…
…010011101010111100
312000010211001020110100
4300300230103222330
51324211232410303
640015142041100
73532305103122
oct606054235274
9160124036410
1052356528828
112022799403a
12a192119190
134c25047b96
1427696b5912
1515666d08a3
hexc30b13abc

52356528828 has 72 divisors (see below), whose sum is σ = 136563729120. Its totient is φ = 16902167040.

The previous prime is 52356528827. The next prime is 52356528859. The reversal of 52356528828 is 82882565325.

52356528828 is a `hidden beast` number, since 5 + 2 + 35 + 6 + 528 + 82 + 8 = 666.

It is a super-2 number, since 2×523565288282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52356528827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72753 + ... + 331671.

It is an arithmetic number, because the mean of its divisors is an integer number (1896718460).

Almost surely, 252356528828 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 52356528828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68281864560).

52356528828 is an abundant number, since it is smaller than the sum of its proper divisors (84207200292).

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

52356528828 is a wasteful number, since it uses less digits than its factorization.

52356528828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259107 (or 259102 counting only the distinct ones).

The product of its digits is 9216000, while the sum is 54.

The spelling of 52356528828 in words is "fifty-two billion, three hundred fifty-six million, five hundred twenty-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 137 164 246 274 369 411 492 548 738 822 1233 1476 1644 2466 4932 5617 11234 16851 22468 33702 50553 67404 101106 202212 258919 517838 776757 1035676 1553514 2330271 3107028 4660542 9321084 10615679 21231358 31847037 35471903 42462716 63694074 70943806 95541111 106415709 127388148 141887612 191082222 212831418 319247127 382164444 425662836 638494254 1276988508 1454348023 2908696046 4363044069 5817392092 8726088138 13089132207 17452176276 26178264414 52356528828