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55926798660 = 22325418778641
BaseRepresentation
bin110100000101011111…
…110011100101000100
312100100122010201221100
4310011133303211010
51404014230024120
641405321220100
74016626642065
oct640537634504
9170318121840
1055926798660
112179a246667
12aa09931630
135373918a95
1429c792656c
1516c4d6d490
hexd057f3944

55926798660 has 144 divisors (see below), whose sum is σ = 174000586032. Its totient is φ = 14531788800.

The previous prime is 55926798563. The next prime is 55926798667. The reversal of 55926798660 is 6689762955.

55926798660 is a `hidden beast` number, since 559 + 2 + 6 + 79 + 8 + 6 + 6 + 0 = 666.

55926798660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 11617390656 + 44309408004 = 107784^2 + 210498^2 .

It is not an unprimeable number, because it can be changed into a prime (55926798667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6467940 + ... + 6476580.

It is an arithmetic number, because the mean of its divisors is an integer number (1208337403).

Almost surely, 255926798660 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 55926798660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87000293016).

55926798660 is an abundant number, since it is smaller than the sum of its proper divisors (118073787372).

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

55926798660 is a wasteful number, since it uses less digits than its factorization.

55926798660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9574 (or 9569 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 55926798660 in words is "fifty-five billion, nine hundred twenty-six million, seven hundred ninety-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 877 1230 1476 1754 1845 2460 2631 3508 3690 4385 5262 7380 7893 8641 8770 10524 13155 15786 17282 17540 25923 26310 31572 34564 35957 39465 43205 51846 52620 71914 77769 78930 86410 103692 107871 129615 143828 155538 157860 172820 179785 215742 259230 311076 323613 354281 359570 388845 431484 518460 539355 647226 708562 719140 777690 1062843 1078710 1294452 1417124 1555380 1618065 1771405 2125686 2157420 3188529 3236130 3542810 4251372 5314215 6377058 6472260 7085620 7578157 10628430 12754116 15156314 15942645 21256860 22734471 30312628 31885290 37890785 45468942 63770580 68203413 75781570 90937884 113672355 136406826 151563140 227344710 272813652 310704437 341017065 454689420 621408874 682034130 932113311 1242817748 1364068260 1553522185 1864226622 2796339933 3107044370 3728453244 4660566555 5592679866 6214088740 9321133110 11185359732 13981699665 18642266220 27963399330 55926798660