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426705901619936 = 252930712131234757
BaseRepresentation
bin110000100000101100011010…
…1101100001000101011100000
32001221211200111221200221000212
41201001120311230020223200
5421412122141303314221
64111305552433433252
7155610325012153121
oct14101306554105340
92057750457627025
10426705901619936
11113a63a582a0124
123ba3656710b828
1315413269bccbc3
1477529666ba048
15344e8ee1a7b5b
hex1841635b08ae0

426705901619936 has 96 divisors (see below), whose sum is σ = 872595674929440. Its totient is φ = 205155519399936.

The previous prime is 426705901619911. The next prime is 426705901620071. The reversal of 426705901619936 is 639916109507624.

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, 344961470 + ... + 346196226.

It is an arithmetic number, because the mean of its divisors is an integer number (9089538280515).

Almost surely, 2426705901619936 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 426705901619936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436297837464720).

426705901619936 is an abundant number, since it is smaller than the sum of its proper divisors (445889773309504).

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

426705901619936 is a wasteful number, since it uses less digits than its factorization.

426705901619936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236316 (or 1236308 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 68.

The spelling of 426705901619936 in words is "four hundred twenty-six trillion, seven hundred five billion, nine hundred one million, six hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 307 464 614 928 1213 1228 2426 2456 4852 4912 8903 9704 9824 17806 19408 35177 35612 38816 70354 71224 140708 142448 281416 284896 372391 562832 744782 1125664 1234757 1489564 2469514 2979128 4939028 5958256 9878056 10799339 11916512 19756112 21598678 35807953 39512224 43197356 71615906 86394712 143231812 172789424 286463624 345578848 379070399 572927248 758140798 1145854496 1497760241 1516281596 2995520482 3032563192 5991040964 6065126384 10993041571 11982081928 12130252768 21986083142 23964163856 43435046989 43972166284 47928327712 86870093978 87944332568 173740187956 175888665136 347480375912 351777330272 459812393987 694960751824 919624787974 1389921503648 1839249575948 3678499151896 7356998303792 13334559425623 14713996607584 26669118851246 53338237702492 106676475404984 213352950809968 426705901619936