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382424864864 = 2575367747581
BaseRepresentation
bin1011001000010100100…
…11000101100001100000
31100120002211211222222212
411210022103011201200
522231201231133424
6451403352021252
736425562500660
oct5441223054140
91316084758885
10382424864864
11138204959229
1262149391828
132a0a7446bb3
141471bd701a0
159e339b610e
hex590a4c5860

382424864864 has 96 divisors (see below), whose sum is σ = 878004380736. Its totient is φ = 160563087360.

The previous prime is 382424864863. The next prime is 382424864923. The reversal of 382424864864 is 468468424283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382424864863) 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, 8013554 + ... + 8061134.

It is an arithmetic number, because the mean of its divisors is an integer number (9145878966).

Almost surely, 2382424864864 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 382424864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439002190368).

382424864864 is an abundant number, since it is smaller than the sum of its proper divisors (495579515872).

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

382424864864 is a wasteful number, since it uses less digits than its factorization.

382424864864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48328 (or 48320 counting only the distinct ones).

The product of its digits is 56623104, while the sum is 59.

The spelling of 382424864864 in words is "three hundred eighty-two billion, four hundred twenty-four million, eight hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 106 112 212 224 371 424 677 742 848 1354 1484 1696 2708 2968 4739 5416 5936 9478 10832 11872 18956 21664 35881 37912 47581 71762 75824 95162 143524 151648 190324 251167 287048 333067 380648 502334 574096 666134 761296 1004668 1148192 1332268 1522592 2009336 2521793 2664536 4018672 5043586 5329072 8037344 10087172 10658144 17652551 20174344 32212337 35305102 40348688 64424674 70610204 80697376 128849348 141220408 225486359 257698696 282440816 450972718 515397392 564881632 901945436 1030794784 1707253861 1803890872 3414507722 3607781744 6829015444 7215563488 11950777027 13658030888 23901554054 27316061776 47803108108 54632123552 95606216216 191212432432 382424864864