Search a number
-
+
4929689160 = 2334511138319
BaseRepresentation
bin1001001011101010…
…10001011001001000
3110201120002011020000
410211311101121020
540044000023120
62133100203000
7233106444414
oct44565213110
913646064200
104929689160
1120aa754480
12b56b39460
13607411746
1434a9dbd44
151dcbb8990
hex125d51648

4929689160 has 160 divisors (see below), whose sum is σ = 18075657600. Its totient is φ = 1195067520.

The previous prime is 4929689147. The next prime is 4929689173. The reversal of 4929689160 is 619869294.

4929689160 is a `hidden beast` number, since 492 + 9 + 6 + 8 + 91 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (4929689147) and next prime (4929689173).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4929689097 and 4929689106.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33520 + ... + 104799.

It is an arithmetic number, because the mean of its divisors is an integer number (112972860).

Almost surely, 24929689160 is an apocalyptic number.

4929689160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4929689160 is an abundant number, since it is smaller than the sum of its proper divisors (13145968440).

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

4929689160 is a wasteful number, since it uses less digits than its factorization.

4929689160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138353 (or 138340 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The square root of 4929689160 is about 70211.7451713031. The cubic root of 4929689160 is about 1701.9227564280.

The spelling of 4929689160 in words is "four billion, nine hundred twenty-nine million, six hundred eighty-nine thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 792 810 891 990 1080 1188 1320 1485 1620 1782 1980 2376 2970 3240 3564 3960 4455 5940 7128 8910 11880 17820 35640 138319 276638 414957 553276 691595 829914 1106552 1244871 1383190 1521509 1659828 2074785 2489742 2766380 3043018 3319656 3734613 4149570 4564527 4979484 5532760 6086036 6224355 7469226 7607545 8299140 9129054 9958968 11203839 12172072 12448710 13693581 14938452 15215090 16598280 18258108 18673065 22407678 22822635 24897420 27387162 29876904 30430180 36516216 37346130 41080743 44815356 45645270 49794840 54774324 56019195 60860360 68467905 74692260 82161486 89630712 91290540 109548648 112038390 123242229 136935810 149384520 164322972 182581080 205403715 224076780 246484458 273871620 328645944 410807430 448153560 492968916 547743240 616211145 821614860 985937832 1232422290 1643229720 2464844580 4929689160