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52652641024 = 283712294523
BaseRepresentation
bin110001000010010101…
…111000101100000000
312000220110020022000201
4301002111320230000
51330313034003044
640104400454544
73542532031024
oct610225705400
9160813208021
1052652641024
112036a052565
12a25531a454
134c714b41b9
142796b56384
1515826c27d4
hexc42578b00

52652641024 has 72 divisors (see below), whose sum is σ = 108051849360. Its totient is φ = 25588297728.

The previous prime is 52652641001. The next prime is 52652641057. The reversal of 52652641024 is 42014625625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11638827 + ... + 11643349.

It is an arithmetic number, because the mean of its divisors is an integer number (1500720130).

Almost surely, 252652641024 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 52652641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025924680).

52652641024 is an abundant number, since it is smaller than the sum of its proper divisors (55399208336).

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

52652641024 is a wasteful number, since it uses less digits than its factorization.

52652641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5791 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 52652641024 in words is "fifty-two billion, six hundred fifty-two million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1229 2368 2458 4523 4736 4916 9046 9472 9832 18092 19664 36184 39328 45473 72368 78656 90946 144736 157312 167351 181892 289472 314624 334702 363784 578944 669404 727568 1157888 1338808 1455136 2677616 2910272 5355232 5558767 5820544 10710464 11117534 11641088 21420928 22235068 42841856 44470136 88940272 177880544 205674379 355761088 411348758 711522176 822697516 1423044352 1645395032 3290790064 6581580128 13163160256 26326320512 52652641024