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427738923136 = 27710925117449
BaseRepresentation
bin1100011100101110011…
…10100000000010000000
31111220001212020200000101
412032113032200002000
524002002131020021
6524300041332144
742621524600020
oct6162716400200
91456055220011
10427738923136
1115544851a968
126aa94a97054
1331449438925
14169ba1d1a80
15b1d6c8da91
hex63973a0080

427738923136 has 128 divisors (see below), whose sum is σ = 986776560000. Its totient is φ = 180900864000.

The previous prime is 427738923133. The next prime is 427738923167. The reversal of 427738923136 is 631329837724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (427738923133) 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, 24504940 + ... + 24522388.

It is an arithmetic number, because the mean of its divisors is an integer number (7709191875).

Almost surely, 2427738923136 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 427738923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493388280000).

427738923136 is an abundant number, since it is smaller than the sum of its proper divisors (559037636864).

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

427738923136 is a wasteful number, since it uses less digits than its factorization.

427738923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830 (or 17818 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 55.

The spelling of 427738923136 in words is "four hundred twenty-seven billion, seven hundred thirty-eight million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 109 112 128 218 224 251 436 448 502 763 872 896 1004 1526 1744 1757 2008 3052 3488 3514 4016 6104 6976 7028 8032 12208 13952 14056 16064 17449 24416 27359 28112 32128 34898 48832 54718 56224 69796 97664 109436 112448 122143 139592 191513 218872 224896 244286 279184 383026 437744 488572 558368 766052 875488 977144 1116736 1532104 1750976 1901941 1954288 2233472 3064208 3501952 3803882 3908576 4379699 6128416 7607764 7817152 8759398 12256832 13313587 15215528 15634304 17518796 24513664 26627174 30431056 30657893 35037592 53254348 60862112 61315786 70075184 106508696 121724224 122631572 140150368 213017392 243448448 245263144 280300736 426034784 477387191 490526288 560601472 852069568 954774382 981052576 1704139136 1909548764 1962105152 3341710337 3819097528 3924210304 6683420674 7638195056 13366841348 15276390112 26733682696 30552780224 53467365392 61105560448 106934730784 213869461568 427738923136