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387100128996 = 223273535717621
BaseRepresentation
bin1011010001000001111…
…01110011011011100100
31101000011200012000200200
411220200331303123210
522320240113111441
6453455323110500
736652462543440
oct5504075633344
91330150160620
10387100128996
1113a193a27389
1263033072430
132a670c26a89
1414a42c5d820
15a1091747b6
hex5a20f736e4

387100128996 has 144 divisors (see below), whose sum is σ = 1123568654208. Its totient is φ = 110079129600.

The previous prime is 387100128953. The next prime is 387100129037. The reversal of 387100128996 is 699821001783.

387100128996 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50790066 + ... + 50797686.

Almost surely, 2387100128996 is an apocalyptic number.

387100128996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 387100128996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561784327104).

387100128996 is an abundant number, since it is smaller than the sum of its proper divisors (736468525212).

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

387100128996 is a wasteful number, since it uses less digits than its factorization.

387100128996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8557 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 387100128996 in words is "three hundred eighty-seven billion, one hundred million, one hundred twenty-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 353 571 706 1059 1142 1412 1713 2118 2284 2471 3177 3426 3997 4236 4942 5139 6354 6852 7413 7621 7994 9884 10278 11991 12708 14826 15242 15988 20556 22239 22863 23982 29652 30484 35973 44478 45726 47964 53347 68589 71946 88956 91452 106694 137178 143892 160041 201563 213388 274356 320082 403126 480123 604689 640164 806252 960246 1209378 1410941 1814067 1920492 2418756 2690213 2821882 3628134 4232823 4351591 5380426 5643764 7256268 8070639 8465646 8703182 10760852 12698469 13054773 16141278 16931292 17406364 18831491 24211917 25396938 26109546 30461137 32282556 37662982 39164319 48423834 50793876 52219092 56494473 60922274 75325964 78328638 91383411 96847668 112988946 121844548 156657276 169483419 182766822 225977892 274150233 338966838 365533644 548300466 677933676 1096600932 1536111623 3072223246 4608334869 6144446492 9216669738 10752781361 13825004607 18433339476 21505562722 27650009214 32258344083 43011125444 55300018428 64516688166 96775032249 129033376332 193550064498 387100128996