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5314369680 = 2432531238099
BaseRepresentation
bin1001111001100001…
…01101100010010000
3111201100220221200200
410330300231202100
541340434312210
62235201215200
7245460253104
oct47460554220
914640827620
105314369680
112287906664
121043931500
1366901b159
14385b35904
152118530c0
hex13cc2d890

5314369680 has 120 divisors (see below), whose sum is σ = 18423225600. Its totient is φ = 1371444480.

The previous prime is 5314369663. The next prime is 5314369747. The reversal of 5314369680 is 869634135.

5314369680 is a `hidden beast` number, since 53 + 1 + 436 + 96 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96730 + ... + 141369.

It is an arithmetic number, because the mean of its divisors is an integer number (153526880).

Almost surely, 25314369680 is an apocalyptic number.

It is an amenable number.

5314369680 is an abundant number, since it is smaller than the sum of its proper divisors (13108855920).

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

5314369680 is a wasteful number, since it uses less digits than its factorization.

5314369680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238149 (or 238140 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 5314369680 is about 72899.7234562656. The cubic root of 5314369680 is about 1745.0876856237.

The spelling of 5314369680 in words is "five billion, three hundred fourteen million, three hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 238099 476198 714297 952396 1190495 1428594 1904792 2142891 2380990 2857188 3571485 3809584 4285782 4761980 5714376 7142970 7381069 8571564 9523960 10714455 11428752 14285940 14762138 17143128 19047920 21428910 22143207 28571880 29524276 34286256 36905345 42857820 44286414 57143760 59048552 66429621 73810690 85715640 88572828 110716035 118097104 132859242 147621380 171431280 177145656 221432070 265718484 295242760 332148105 354291312 442864140 531436968 590485520 664296210 885728280 1062873936 1328592420 1771456560 2657184840 5314369680