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427255040960 = 26511587206779
BaseRepresentation
bin1100011011110100110…
…00101000101111000000
31111211211010201220110022
412031322120220233000
524000004242302320
6524140034153012
742603530632556
oct6157230505700
91454733656408
10427255040960
1115521a372040
126a97aa22768
13313a0107c07
1416971c33bd6
15b1a955b325
hex637a628bc0

427255040960 has 112 divisors (see below), whose sum is σ = 1111788236160. Its totient is φ = 155100042240.

The previous prime is 427255040929. The next prime is 427255040969. The reversal of 427255040960 is 69040552724.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427255040969) 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, 1962851 + ... + 2169629.

It is an arithmetic number, because the mean of its divisors is an integer number (9926680680).

Almost surely, 2427255040960 is an apocalyptic number.

427255040960 is a gapful number since it is divisible by the number (40) 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 427255040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555894118080).

427255040960 is an abundant number, since it is smaller than the sum of its proper divisors (684533195200).

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

427255040960 is a wasteful number, since it uses less digits than its factorization.

427255040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207394 (or 207384 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The spelling of 427255040960 in words is "four hundred twenty-seven billion, two hundred fifty-five million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 587 704 880 1174 1760 2348 2935 3520 4696 5870 6457 9392 11740 12914 18784 23480 25828 32285 37568 46960 51656 64570 93920 103312 129140 187840 206624 206779 258280 413248 413558 516560 827116 1033120 1033895 1654232 2066240 2067790 2274569 3308464 4135580 4549138 6616928 8271160 9098276 11372845 13233856 16542320 18196552 22745690 33084640 36393104 45491380 66169280 72786208 90982760 121379273 145572416 181965520 242758546 363931040 485517092 606896365 727862080 971034184 1213792730 1335172003 1942068368 2427585460 2670344006 3884136736 4855170920 5340688012 6675860015 7768273472 9710341840 10681376024 13351720030 19420683680 21362752048 26703440060 38841367360 42725504096 53406880120 85451008192 106813760240 213627520480 427255040960