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52640499744 = 2532747995441
BaseRepresentation
bin110001000001100111…
…100100100000100000
312000212121101110022200
4301001213210200200
51330301431442434
640103244333200
73542323602510
oct610147444040
9160777343280
1052640499744
112036320a648
12a251244200
134c6bb22b01
1427952b5840
1515815c5199
hexc419e4820

52640499744 has 144 divisors (see below), whose sum is σ = 171148723200. Its totient is φ = 15034245120.

The previous prime is 52640499641. The next prime is 52640499749. The reversal of 52640499744 is 44799404625.

52640499744 is a `hidden beast` number, since 52 + 64 + 0 + 499 + 7 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (52640499749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9672064 + ... + 9677504.

It is an arithmetic number, because the mean of its divisors is an integer number (1188532800).

Almost surely, 252640499744 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 52640499744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85574361600).

52640499744 is an abundant number, since it is smaller than the sum of its proper divisors (118508223456).

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

52640499744 is a wasteful number, since it uses less digits than its factorization.

52640499744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10263 (or 10252 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 52640499744 in words is "fifty-two billion, six hundred forty million, four hundred ninety-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 4799 5441 9598 10882 14397 16323 19196 21764 28794 32646 33593 38087 38392 43191 43528 48969 57588 65292 67186 76174 76784 86382 87056 97938 100779 114261 115176 130584 134372 152348 153568 172764 174112 195876 201558 228522 230352 261168 268744 302337 304696 342783 345528 391752 403116 457044 460704 522336 537488 604674 609392 685566 691056 783504 806232 914088 1074976 1209348 1218784 1371132 1382112 1567008 1612464 1828176 2418696 2742264 3224928 3656352 4837392 5484528 9674784 10969056 26111359 52222718 78334077 104445436 156668154 182779513 208890872 235002231 313336308 365559026 417781744 470004462 548338539 626672616 731118052 835563488 940008924 1096677078 1253345232 1462236104 1645015617 1880017848 2193354156 2506690464 2924472208 3290031234 3760035696 4386708312 5848944416 6580062468 7520071392 8773416624 13160124936 17546833248 26320249872 52640499744