Search a number
-
+
52840701648 = 24337143912143
BaseRepresentation
bin110001001101100011…
…010001111011010000
312001101120002202201000
4301031203101323100
51331204204423043
640135155342000
73550304360520
oct611543217320
9161346082630
1052840701648
1120456220269
12a2a82b1900
134ca144ac87
1427b3b0b680
151593e6e2d3
hexc4d8d1ed0

52840701648 has 160 divisors (see below), whose sum is σ = 173474611200. Its totient is φ = 15085609344.

The previous prime is 52840701619. The next prime is 52840701679. The reversal of 52840701648 is 84610704825.

52840701648 is a `hidden beast` number, since 528 + 4 + 0 + 70 + 16 + 48 = 666.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4345465 + ... + 4357607.

It is an arithmetic number, because the mean of its divisors is an integer number (1084216320).

Almost surely, 252840701648 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 52840701648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86737305600).

52840701648 is an abundant number, since it is smaller than the sum of its proper divisors (120633909552).

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

52840701648 is a wasteful number, since it uses less digits than its factorization.

52840701648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13606 (or 13594 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 52840701648 in words is "fifty-two billion, eight hundred forty million, seven hundred one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1439 1512 2878 3024 4317 5756 8634 10073 11512 12143 12951 17268 20146 23024 24286 25902 30219 34536 36429 38853 40292 48572 51804 60438 69072 72858 77706 80584 85001 90657 97144 103608 109287 120876 145716 155412 161168 170002 181314 194288 207216 218574 241752 255003 271971 291432 310824 327861 340004 362628 437148 483504 510006 543942 582864 621648 655722 680008 725256 765009 874296 1020012 1087884 1311444 1360016 1450512 1530018 1748592 2040024 2175768 2295027 2622888 3060036 4080048 4351536 4590054 5245776 6120072 9180108 12240144 17473777 18360216 34947554 36720432 52421331 69895108 104842662 122316439 139790216 157263993 209685324 244632878 279580432 314527986 366949317 419370648 471791979 489265756 629055972 733898634 838741296 943583958 978531512 1100847951 1258111944 1467797268 1887167916 1957063024 2201695902 2516223888 2935594536 3302543853 3774335832 4403391804 5871189072 6605087706 7548671664 8806783608 13210175412 17613567216 26420350824 52840701648