Search a number
-
+
54166607680 = 2651715763421
BaseRepresentation
bin110010011100100101…
…001101011101000000
312011210222000202211211
4302130211031131000
51341413122421210
640514522215504
73625204366003
oct623445153500
9164728022754
1054166607680
1120a76702079
12a5b8354594
135153056663
14289bc5353a
15162057a38a
hexc9c94d740

54166607680 has 112 divisors (see below), whose sum is σ = 137443592016. Its totient is φ = 20261928960.

The previous prime is 54166607669. The next prime is 54166607681. The reversal of 54166607680 is 8670666145.

It can be written as a sum of positive squares in 8 ways, for example, as 2623078656 + 51543529024 = 51216^2 + 227032^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54166607681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822370 + ... + 885790.

Almost surely, 254166607680 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 54166607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68721796008).

54166607680 is an abundant number, since it is smaller than the sum of its proper divisors (83276984336).

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

54166607680 is a wasteful number, since it uses less digits than its factorization.

54166607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63612 (or 63602 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 54166607680 in words is "fifty-four billion, one hundred sixty-six million, six hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 157 160 170 272 314 320 340 544 628 680 785 1088 1256 1360 1570 2512 2669 2720 3140 5024 5338 5440 6280 10048 10676 12560 13345 21352 25120 26690 42704 50240 53380 63421 85408 106760 126842 170816 213520 253684 317105 427040 507368 634210 854080 1014736 1078157 1268420 2029472 2156314 2536840 4058944 4312628 5073680 5390785 8625256 9957097 10147360 10781570 17250512 19914194 20294720 21563140 34501024 39828388 43126280 49785485 69002048 79656776 86252560 99570970 159313552 169270649 172505120 199141940 318627104 338541298 345010240 398283880 637254208 677082596 796567760 846353245 1354165192 1593135520 1692706490 2708330384 3186271040 3385412980 5416660768 6770825960 10833321536 13541651920 27083303840 54166607680