Search a number
-
+
52378337280 = 2173526641
BaseRepresentation
bin110000110001111111…
…100000000000000000
312000012100002020000210
4300301333200000000
51324232323243110
640021241314120
73532661343453
oct606177400000
9160170066023
1052378337280
112023922a055
12a199495940
134c297124a9
14276c55149a
15156858c520
hexc31fe0000

52378337280 has 144 divisors (see below), whose sum is σ = 167616331344. Its totient is φ = 13967032320.

The previous prime is 52378337257. The next prime is 52378337293. The reversal of 52378337280 is 8273387325.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1952760 + ... + 1979400.

It is an arithmetic number, because the mean of its divisors is an integer number (1164002301).

Almost surely, 252378337280 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 52378337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83808165672).

52378337280 is an abundant number, since it is smaller than the sum of its proper divisors (115237994064).

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

52378337280 is an frugal number, since it uses more digits than its factorization.

52378337280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26683 (or 26651 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 52378337280 in words is "fifty-two billion, three hundred seventy-eight million, three hundred thirty-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 26641 30720 32768 40960 49152 53282 61440 65536 79923 81920 98304 106564 122880 131072 133205 159846 163840 196608 213128 245760 266410 319692 327680 393216 399615 426256 491520 532820 639384 655360 799230 852512 983040 1065640 1278768 1598460 1705024 1966080 2131280 2557536 3196920 3410048 4262560 5115072 6393840 6820096 8525120 10230144 12787680 13640192 17050240 20460288 25575360 27280384 34100480 40920576 51150720 54560768 68200960 81841152 102301440 109121536 136401920 163682304 204602880 218243072 272803840 327364608 409205760 436486144 545607680 654729216 818411520 872972288 1091215360 1309458432 1636823040 1745944576 2182430720 2618916864 3273646080 3491889152 4364861440 5237833728 6547292160 8729722880 10475667456 13094584320 17459445760 26189168640 52378337280