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53760310016 = 28725380863
BaseRepresentation
bin110010000100010111…
…010011101100000000
312010202122111201020012
4302010113103230000
51340100114410031
640410330004052
73612142044500
oct620427235400
9163678451205
1053760310016
1120888325686
12a504276628
1350b9b1b73a
14285dccda00
1515e9a70b2b
hexc845d3b00

53760310016 has 108 divisors (see below), whose sum is σ = 127187589312. Its totient is φ = 22605133824.

The previous prime is 53760310013. The next prime is 53760310033. The reversal of 53760310016 is 61001306735.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53760310013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624401 + ... + 705263.

It is an arithmetic number, because the mean of its divisors is an integer number (1177662864).

Almost surely, 253760310016 is an apocalyptic number.

53760310016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53760310016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63593794656).

53760310016 is an abundant number, since it is smaller than the sum of its proper divisors (73427279296).

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

53760310016 is an equidigital number, since it uses as much as digits as its factorization.

53760310016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80946 (or 80925 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The spelling of 53760310016 in words is "fifty-three billion, seven hundred sixty million, three hundred ten thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 64 98 106 112 128 196 212 224 256 371 392 424 448 742 784 848 896 1484 1568 1696 1792 2597 2968 3136 3392 5194 5936 6272 6784 10388 11872 12544 13568 20776 23744 41552 47488 80863 83104 94976 161726 166208 323452 332416 566041 646904 664832 1132082 1293808 2264164 2587616 3962287 4285739 4528328 5175232 7924574 8571478 9056656 10350464 15849148 17142956 18113312 20700928 30000173 31698296 34285912 36226624 60000346 63396592 68571824 72453248 120000692 126793184 137143648 144906496 210001211 240001384 253586368 274287296 420002422 480002768 507172736 548574592 840004844 960005536 1014345472 1097149184 1680009688 1920011072 3360019376 3840022144 6720038752 7680044288 13440077504 26880155008 53760310016