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387993464376 = 23373764819631
BaseRepresentation
bin1011010010101100011…
…01100110111000111000
31101002110221011011110020
411221112031212320320
522324102311330001
6454124114250440
740013561013660
oct5512615467070
91332427134406
10387993464376
1113a602217491
1263242286a20
132a784028aab
1414ac97631a0
15a15c7d6736
hex5a56366e38

387993464376 has 128 divisors (see below), whose sum is σ = 1138807541760. Its totient is φ = 107831347200.

The previous prime is 387993464363. The next prime is 387993464461. The reversal of 387993464376 is 673464399783.

It is a self number, because there is not a number n which added to its sum of digits gives 387993464376.

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, 40281081 + ... + 40290711.

It is an arithmetic number, because the mean of its divisors is an integer number (8896933920).

Almost surely, 2387993464376 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 387993464376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569403770880).

387993464376 is an abundant number, since it is smaller than the sum of its proper divisors (750814077384).

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

387993464376 is a wasteful number, since it uses less digits than its factorization.

387993464376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16165 (or 16161 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 69.

The spelling of 387993464376 in words is "three hundred eighty-seven billion, nine hundred ninety-three million, four hundred sixty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 888 1036 1554 2072 3108 6216 6481 9631 12962 19262 19443 25924 28893 38524 38886 45367 51848 57786 67417 77048 77772 90734 115572 134834 136101 155544 181468 202251 231144 239797 269668 272202 356347 362936 404502 479594 539336 544404 712694 719391 809004 959188 1069041 1088808 1425388 1438782 1618008 1678579 1918376 2138082 2494429 2850776 2877564 3357158 4276164 4988858 5035737 5755128 6714316 7483287 8552328 9977716 10071474 13428632 14966574 19955432 20142948 29933148 40285896 59866296 62418511 124837022 187255533 249674044 374511066 436929577 499348088 749022132 873859154 1310788731 1498044264 1747718308 2309484907 2621577462 3495436616 4618969814 5243154924 6928454721 9237939628 10486309848 13856909442 16166394349 18475879256 27713818884 32332788698 48499183047 55427637768 64665577396 96998366094 129331154792 193996732188 387993464376