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52152053376 = 2731072814517
BaseRepresentation
bin110000100100100000…
…010010111010000000
311222121120021210212110
4300210200102322000
51323301411202001
635542555255320
73524243065563
oct604440227200
9158546253773
1052152053376
1120132524665
12a13574a540
134bc18847a7
14274a48a4da
1515537903d6
hexc24812e80

52152053376 has 128 divisors (see below), whose sum is σ = 140352212160. Its totient is φ = 17156464640.

The previous prime is 52152053353. The next prime is 52152053377. The reversal of 52152053376 is 67335025125.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (52152053377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11543470 + ... + 11547986.

Almost surely, 252152053376 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 52152053376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70176106080).

52152053376 is an abundant number, since it is smaller than the sum of its proper divisors (88200158784).

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

52152053376 is a wasteful number, since it uses less digits than its factorization.

52152053376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922 (or 4910 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 39.

The spelling of 52152053376 in words is "fifty-two billion, one hundred fifty-two million, fifty-three thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 281 321 384 428 562 642 843 856 1124 1284 1686 1712 2248 2568 3372 3424 4496 4517 5136 6744 6848 8992 9034 10272 13488 13551 13696 17984 18068 20544 26976 27102 30067 35968 36136 41088 53952 54204 60134 72272 90201 107904 108408 120268 144544 180402 216816 240536 289088 360804 433632 481072 483319 578176 721608 867264 962144 966638 1269277 1443216 1449957 1734528 1924288 1933276 2538554 2886432 2899914 3807831 3848576 3866552 5077108 5772864 5799828 7615662 7733104 10154216 11545728 11599656 15231324 15466208 20308432 23199312 30462648 30932416 40616864 46398624 60925296 61864832 81233728 92797248 121850592 135812639 162467456 185594496 243701184 271625278 407437917 487402368 543250556 814875834 1086501112 1629751668 2173002224 3259503336 4346004448 6519006672 8692008896 13038013344 17384017792 26076026688 52152053376