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427661582700 = 2235211353367123
BaseRepresentation
bin1100011100100101001…
…11011110000101101100
31111212212110201100212210
412032102213132011230
524001322331121300
6524244235530420
742616565321502
oct6162247360554
91455773640783
10427661582700
111554088a5950
126aa72bb9a10
13314363c9c61
14169adc1c672
15b1d00b3050
hex63929de16c

427661582700 has 144 divisors (see below), whose sum is σ = 1353683108736. Its totient is φ = 103381555200.

The previous prime is 427661582693. The next prime is 427661582723. The reversal of 427661582700 is 7285166724.

It is a self number, because there is not a number n which added to its sum of digits gives 427661582700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 981339 + ... + 1348461.

It is an arithmetic number, because the mean of its divisors is an integer number (9400577144).

Almost surely, 2427661582700 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 427661582700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676841554368).

427661582700 is an abundant number, since it is smaller than the sum of its proper divisors (926021526036).

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

427661582700 is a wasteful number, since it uses less digits than its factorization.

427661582700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367504 (or 367497 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 427661582700 in words is "four hundred twenty-seven billion, six hundred sixty-one million, five hundred eighty-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 353 550 660 706 825 1059 1100 1412 1650 1765 2118 3300 3530 3883 4236 5295 7060 7766 8825 10590 11649 15532 17650 19415 21180 23298 26475 35300 38830 46596 52950 58245 77660 97075 105900 116490 194150 232980 291225 367123 388300 582450 734246 1101369 1164900 1468492 1835615 2202738 3671230 4038353 4405476 5506845 7342460 8076706 9178075 11013690 12115059 16153412 18356150 20191765 22027380 24230118 27534225 36712300 40383530 48460236 55068450 60575295 80767060 100958825 110136900 121150590 129594419 201917650 242301180 259188838 302876475 388783257 403835300 518377676 605752950 647972095 777566514 1211505900 1295944190 1425538609 1555133028 1943916285 2591888380 2851077218 3239860475 3887832570 4276615827 5702154436 6479720950 7127693045 7775665140 8553231654 9719581425 12959441900 14255386090 17106463308 19439162850 21383079135 28510772180 35638465225 38878325700 42766158270 71276930450 85532316540 106915395675 142553860900 213830791350 427661582700