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427678412430 = 23547359844897
BaseRepresentation
bin1100011100100111001…
…11101010111010001110
31111212220122101101221010
412032103213222322032
524001341133144210
6524250040350050
742620161344663
oct6162347527216
91455818341833
10427678412430
11155417350315
126aa78775326
1331439a40389
14169b215da6a
15b1d17d9920
hex63939eae8e

427678412430 has 64 divisors (see below), whose sum is σ = 1051188295680. Its totient is φ = 111309978624.

The previous prime is 427678412423. The next prime is 427678412437. The reversal of 427678412430 is 34214876724.

It is an interprime number because it is at equal distance from previous prime (427678412423) and next prime (427678412437).

It is a self number, because there is not a number n which added to its sum of digits gives 427678412430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427678412437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83742 + ... + 928638.

It is an arithmetic number, because the mean of its divisors is an integer number (16424817120).

Almost surely, 2427678412430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427678412430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525594147840).

427678412430 is an abundant number, since it is smaller than the sum of its proper divisors (623509883250).

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

427678412430 is a wasteful number, since it uses less digits than its factorization.

427678412430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845313.

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 427678412430 in words is "four hundred twenty-seven billion, six hundred seventy-eight million, four hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 359 470 705 718 1077 1410 1795 2154 3590 5385 10770 16873 33746 50619 84365 101238 168730 253095 506190 844897 1689794 2534691 4224485 5069382 8448970 12673455 25346910 39710159 79420318 119130477 198550795 238260954 303318023 397101590 595652385 606636046 909954069 1191304770 1516590115 1819908138 3033180230 4549770345 9099540690 14255947081 28511894162 42767841243 71279735405 85535682486 142559470810 213839206215 427678412430