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427554419440 = 24597115147869
BaseRepresentation
bin1100011100011000011…
…10101011001011110000
31111212121000001220112011
412032030032223023300
524001112412410230
6524225451012304
742614124413251
oct6161416531360
91455530056464
10427554419440
11155363361575
126aa4313a094
133141a148b45
141699d8c4b28
15b1c5995e2a
hex638c3ab2f0

427554419440 has 80 divisors (see below), whose sum is σ = 1005205662720. Its totient is φ = 169108070400.

The previous prime is 427554419431. The next prime is 427554419459. The reversal of 427554419440 is 44914455724.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 8907826 + ... + 8955694.

It is an arithmetic number, because the mean of its divisors is an integer number (12565070784).

Almost surely, 2427554419440 is an apocalyptic number.

427554419440 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 427554419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502602831360).

427554419440 is an abundant number, since it is smaller than the sum of its proper divisors (577651243280).

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

427554419440 is a wasteful number, since it uses less digits than its factorization.

427554419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49130 (or 49124 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 49.

The spelling of 427554419440 in words is "four hundred twenty-seven billion, five hundred fifty-four million, four hundred nineteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1151 1552 1940 2302 3880 4604 5755 7760 9208 11510 18416 23020 46040 47869 92080 95738 111647 191476 223294 239345 382952 446588 478690 558235 765904 893176 957380 1116470 1786352 1914760 2232940 3829520 4465880 4643293 8931760 9286586 18573172 23216465 37146344 46432930 55097219 74292688 92865860 110194438 185731720 220388876 275486095 371463440 440777752 550972190 881555504 1101944380 2203888760 4407777520 5344430243 10688860486 21377720972 26722151215 42755441944 53444302430 85510883888 106888604860 213777209720 427554419440