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16007054220 = 22335102129033
BaseRepresentation
bin11101110100001100…
…00100001110001100
31112022120002121101000
432322012010032030
5230240301213340
611204210420300
71104445500363
oct167206041614
945276077330
1016007054220
116874623833
123128891690
131681386021
14abbc8a7da
1563a43ad30
hex3ba18438c

16007054220 has 96 divisors (see below), whose sum is σ = 49850216640. Its totient is φ = 4264220160.

The previous prime is 16007054137. The next prime is 16007054233. The reversal of 16007054220 is 2245070061.

16007054220 is a `hidden beast` number, since 1 + 600 + 7 + 0 + 54 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 536824 + ... + 565856.

It is an arithmetic number, because the mean of its divisors is an integer number (519273090).

Almost surely, 216007054220 is an apocalyptic number.

16007054220 is a gapful number since it is divisible by the number (10) 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 16007054220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24925108320).

16007054220 is an abundant number, since it is smaller than the sum of its proper divisors (33843162420).

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

16007054220 is a wasteful number, since it uses less digits than its factorization.

16007054220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30072 (or 30064 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 16007054220 in words is "sixteen billion, seven million, fifty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1021 2042 3063 4084 5105 6126 9189 10210 12252 15315 18378 20420 27567 29033 30630 36756 45945 55134 58066 61260 87099 91890 110268 116132 137835 145165 174198 183780 261297 275670 290330 348396 435495 522594 551340 580660 783891 870990 1045188 1306485 1567782 1741980 2612970 3135564 3919455 5225940 7838910 15677820 29642693 59285386 88928079 118570772 148213465 177856158 266784237 296426930 355712316 444640395 533568474 592853860 800352711 889280790 1067136948 1333921185 1600705422 1778561580 2667842370 3201410844 4001763555 5335684740 8003527110 16007054220