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5990468640 = 253513273847
BaseRepresentation
bin1011001010000111…
…10100110000100000
3120110111010100002220
411211003310300200
544232024444030
62430232311040
7301310100102
oct54503646040
916414110086
105990468640
1125a4510832
1211b2242480
1374610c600
1440b84b572
15250da3a10
hex1650f4c20

5990468640 has 144 divisors (see below), whose sum is σ = 20433446208. Its totient is φ = 1474556928.

The previous prime is 5990468629. The next prime is 5990468641. The reversal of 5990468640 is 468640995.

It is not an unprimeable number, because it can be changed into a prime (5990468641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44197 + ... + 118043.

It is an arithmetic number, because the mean of its divisors is an integer number (141898932).

Almost surely, 25990468640 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 5990468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10216723104).

5990468640 is an abundant number, since it is smaller than the sum of its proper divisors (14442977568).

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

5990468640 is a wasteful number, since it uses less digits than its factorization.

5990468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73891 (or 73870 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 5990468640 is about 77398.1178065720. The cubic root of 5990468640 is about 1816.1578811806.

The spelling of 5990468640 in words is "five billion, nine hundred ninety million, four hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 169 195 208 240 260 312 338 390 416 480 507 520 624 676 780 845 1014 1040 1248 1352 1560 1690 2028 2080 2535 2704 3120 3380 4056 5070 5408 6240 6760 8112 10140 13520 16224 20280 27040 40560 73847 81120 147694 221541 295388 369235 443082 590776 738470 886164 960011 1107705 1181552 1476940 1772328 1920022 2215410 2363104 2880033 2953880 3544656 3840044 4430820 4800055 5760066 5907760 7089312 7680088 8861640 9600110 11520132 11815520 12480143 14400165 15360176 17723280 19200220 23040264 24960286 28800330 30720352 35446560 37440429 38400440 46080528 49920572 57600660 62400715 74880858 76800880 92161056 99841144 115201320 124801430 149761716 153601760 187202145 199682288 230402640 249602860 299523432 374404290 399364576 460805280 499205720 599046864 748808580 998411440 1198093728 1497617160 1996822880 2995234320 5990468640