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5004328960 = 21952383
BaseRepresentation
bin1001010100100100…
…00000000000000000
3110220202112020210001
410222102000000000
540222102011320
62144324045344
7235004044231
oct45222000000
913822466701
105004328960
1121388a4464
12b77b33854
13619a160c7
143568ab088
151e450e20a
hex12a480000

5004328960 has 160 divisors (see below), whose sum is σ = 12683563200. Its totient is φ = 1891631104.

The previous prime is 5004328957. The next prime is 5004328969. The reversal of 5004328960 is 698234005.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5004328969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60293079 + ... + 60293161.

It is an arithmetic number, because the mean of its divisors is an integer number (79272270).

Almost surely, 25004328960 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 5004328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341781600).

5004328960 is an abundant number, since it is smaller than the sum of its proper divisors (7679234240).

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

5004328960 is an frugal number, since it uses more digits than its factorization.

5004328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 5004328960 is about 70741.2818656829. The cubic root of 5004328960 is about 1710.4692988222.

It can be divided in two parts, 50043 and 28960, that added together give a triangular number (79003 = T397).

The spelling of 5004328960 in words is "five billion, four million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 83 92 115 128 160 166 184 230 256 320 332 368 415 460 512 640 664 736 830 920 1024 1280 1328 1472 1660 1840 1909 2048 2560 2656 2944 3320 3680 3818 4096 5120 5312 5888 6640 7360 7636 8192 9545 10240 10624 11776 13280 14720 15272 16384 19090 20480 21248 23552 26560 29440 30544 32768 38180 40960 42496 47104 53120 58880 61088 65536 76360 81920 84992 94208 106240 117760 122176 131072 152720 163840 169984 188416 212480 235520 244352 262144 305440 327680 339968 376832 424960 471040 488704 524288 610880 655360 679936 753664 849920 942080 977408 1221760 1310720 1359872 1507328 1699840 1884160 1954816 2443520 2621440 2719744 3014656 3399680 3768320 3909632 4887040 5439488 6029312 6799360 7536640 7819264 9774080 10878976 12058624 13598720 15073280 15638528 19548160 21757952 27197440 30146560 31277056 39096320 43515904 54394880 60293120 62554112 78192640 108789760 125108224 156385280 217579520 250216448 312770560 500432896 625541120 1000865792 1251082240 2502164480 5004328960