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427801747860 = 22355260933739
BaseRepresentation
bin1100011100110101111…
…10001010000110010100
31111220020020110111100000
412032122332022012110
524002114221412420
6524310204051300
742623216600334
oct6163276120624
91456206414300
10427801747860
1115547aa30023
126aab1b33b30
1331459464516
14169c46a70c4
15b1dc54d690
hex639af8a194

427801747860 has 144 divisors (see below), whose sum is σ = 1346282683200. Its totient is φ = 114033360384.

The previous prime is 427801747847. The next prime is 427801747927. The reversal of 427801747860 is 68747108724.

427801747860 is a `hidden beast` number, since 4 + 27 + 80 + 17 + 478 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 427801747797 and 427801747806.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12662871 + ... + 12696609.

It is an arithmetic number, because the mean of its divisors is an integer number (9349185300).

Almost surely, 2427801747860 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 427801747860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673141341600).

427801747860 is an abundant number, since it is smaller than the sum of its proper divisors (918480935340).

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

427801747860 is a wasteful number, since it uses less digits than its factorization.

427801747860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36372 (or 36358 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 427801747860 in words is "four hundred twenty-seven billion, eight hundred one million, seven hundred forty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1620 2430 2609 4860 5218 7827 10436 13045 15654 23481 26090 31308 33739 39135 46962 52180 67478 70443 78270 93924 101217 117405 134956 140886 156540 168695 202434 211329 234810 281772 303651 337390 352215 404868 422658 469620 506085 607302 633987 674780 704430 845316 910953 1012170 1056645 1214604 1267974 1408860 1518255 1821906 2024340 2113290 2535948 2732859 3036510 3169935 3643812 4226580 4554765 5465718 6073020 6339870 8198577 9109530 10931436 12679740 13664295 16397154 18219060 27328590 32794308 40992885 54657180 81985770 88025051 163971540 176050102 264075153 352100204 440125255 528150306 792225459 880250510 1056300612 1320375765 1584450918 1760501020 2376676377 2640751530 3168901836 3961127295 4753352754 5281503060 7130029131 7922254590 9506705508 11883381885 14260058262 15844509180 21390087393 23766763770 28520116524 35650145655 42780174786 47533527540 71300291310 85560349572 106950436965 142600582620 213900873930 427801747860