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5349408570 = 2325113723947
BaseRepresentation
bin1001111101101100…
…10111111100111010
3111210210212010000100
410332312113330322
541423422033240
62242452220230
7246364136232
oct47666277472
914723763010
105349408570
1122a5668920
12105360a676
1367336881c
1438a656cc2
15214974e30
hex13ed97f3a

5349408570 has 144 divisors (see below), whose sum is σ = 15597979488. Its totient is φ = 1261457280.

The previous prime is 5349408557. The next prime is 5349408613. The reversal of 5349408570 is 758049435.

5349408570 is a `hidden beast` number, since 5 + 34 + 9 + 40 + 8 + 570 = 666.

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 71 ways as a sum of consecutive naturals, for example, 1353337 + ... + 1357283.

It is an arithmetic number, because the mean of its divisors is an integer number (108319302).

Almost surely, 25349408570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5349408570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798989744).

5349408570 is an abundant number, since it is smaller than the sum of its proper divisors (10248570918).

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

5349408570 is a wasteful number, since it uses less digits than its factorization.

5349408570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4045 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5349408570 is about 73139.6511476504. The cubic root of 5349408570 is about 1748.9145453788.

The spelling of 5349408570 in words is "five billion, three hundred forty-nine million, four hundred eight thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1369 1665 2035 2442 2738 3330 3663 3947 4070 4107 6105 6845 7326 7894 8214 11841 12210 12321 13690 15059 18315 19735 20535 23682 24642 30118 35523 36630 39470 41070 43417 45177 59205 61605 71046 75295 86834 90354 118410 123210 130251 135531 146039 150590 177615 217085 225885 260502 271062 292078 355230 390753 434170 438117 451770 651255 677655 730195 781506 876234 1302510 1314351 1355310 1460390 1606429 1953765 2190585 2628702 3212858 3907530 4381170 4819287 5403443 6571755 8032145 9638574 10806886 13143510 14457861 16064290 16210329 24096435 27017215 28915722 32420658 48192870 48630987 54034430 59437873 72289305 81051645 97261974 118875746 144578610 162103290 178313619 243154935 297189365 356627238 486309870 534940857 594378730 891568095 1069881714 1783136190 2674704285 5349408570