Search a number
-
+
4052578563240 = 2335271593920983
BaseRepresentation
bin111010111110010000100…
…000010111010010101000
3112100102102011112110100020
4322332100200113102220
51012344140103010430
612341421235040440
7565534450265004
oct72762040272250
915312364473306
104052578563240
111322763a48419
12555500440120
13235205b4400c
141002082d1704
157063bde8b10
hex3af908174a8

4052578563240 has 128 divisors (see below), whose sum is σ = 12205234483200. Its totient is φ = 1076467242240.

The previous prime is 4052578563239. The next prime is 4052578563263. The reversal of 4052578563240 is 423658752504.

It is a super-2 number, since 2×40525785632402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193125789 + ... + 193146771.

It is an arithmetic number, because the mean of its divisors is an integer number (95353394400).

Almost surely, 24052578563240 is an apocalyptic number.

4052578563240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4052578563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6102617241600).

4052578563240 is an abundant number, since it is smaller than the sum of its proper divisors (8152655919960).

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

4052578563240 is a wasteful number, since it uses less digits than its factorization.

4052578563240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27207 (or 27203 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 51.

The spelling of 4052578563240 in words is "four trillion, fifty-two billion, five hundred seventy-eight million, five hundred sixty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 5939 6504 8130 10840 11878 16260 17817 20983 23756 29695 32520 35634 41966 47512 59390 62949 71268 83932 89085 104915 118780 125898 142536 167864 178170 209830 237560 251796 314745 356340 419660 503592 629490 712680 839320 1258980 1609469 2517960 3218938 4828407 5686393 6437876 8047345 9656814 11372786 12875752 16094690 17059179 19313628 22745572 24142035 28431965 32189380 34118358 38627256 45491144 48284070 56863930 64378760 68236716 85295895 96568140 113727860 124618037 136473432 170591790 193136280 227455720 249236074 341183580 373854111 498472148 623090185 682367160 747708222 996944296 1246180370 1495416444 1869270555 2492360740 2990832888 3738541110 4984721480 7477082220 14954164440 33771488027 67542976054 101314464081 135085952108 168857440135 202628928162 270171904216 337714880270 405257856324 506572320405 675429760540 810515712648 1013144640810 1350859521080 2026289281620 4052578563240