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427005665496 = 233367209914057
BaseRepresentation
bin1100011011010111000…
…01010110000011011000
31111211011202111022122000
412031223201112003120
523444001422243441
6524055205201000
742564412161444
oct6155341260330
91454152438560
10427005665496
11155101625613
126a90b400160
1331360553877
141694aa7b824
15b1926ec2b6
hex636b8560d8

427005665496 has 128 divisors (see below), whose sum is σ = 1204489440000. Its totient is φ = 140134046976.

The previous prime is 427005665483. The next prime is 427005665501. The reversal of 427005665496 is 694566500724.

427005665496 is a `hidden beast` number, since 4 + 2 + 70 + 0 + 566 + 5 + 4 + 9 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30369700 + ... + 30383756.

It is an arithmetic number, because the mean of its divisors is an integer number (9410073750).

Almost surely, 2427005665496 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 427005665496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602244720000).

427005665496 is an abundant number, since it is smaller than the sum of its proper divisors (777483774504).

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

427005665496 is a wasteful number, since it uses less digits than its factorization.

427005665496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16238 (or 16228 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 427005665496 in words is "four hundred twenty-seven billion, five million, six hundred sixty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 67 72 108 134 201 216 268 402 536 603 804 1206 1608 1809 2099 2412 3618 4198 4824 6297 7236 8396 12594 14057 14472 16792 18891 25188 28114 37782 42171 50376 56228 56673 75564 84342 112456 113346 126513 140633 151128 168684 226692 253026 281266 337368 379539 421899 453384 506052 562532 759078 843798 941819 1012104 1125064 1265697 1518156 1687596 1883638 2531394 2825457 3036312 3375192 3767276 3797091 5062788 5650914 7534552 7594182 8476371 10125576 11301828 15188364 16952742 22603656 25429113 29505643 30376728 33905484 50858226 59011286 67810968 88516929 101716452 118022572 177033858 203432904 236045144 265550787 354067716 531101574 708135432 796652361 1062203148 1593304722 1976878081 2124406296 3186609444 3953756162 5930634243 6373218888 7907512324 11861268486 15815024648 17791902729 23722536972 35583805458 47445073944 53375708187 71167610916 106751416374 142335221832 213502832748 427005665496