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16008072472 = 2374173149641
BaseRepresentation
bin11101110100010011…
…11100110100011000
31112022122000100011001
432322021330310120
5230241031304342
611204244314344
71104460241140
oct167211746430
945278010131
1016008072472
116875159867
1231290a29b4
131681651642
14abc073920
1563a58c8b7
hex3ba27cd18

16008072472 has 128 divisors (see below), whose sum is σ = 35916048000. Its totient is φ = 6547046400.

The previous prime is 16008072449. The next prime is 16008072481. The reversal of 16008072472 is 27427080061.

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, 24973272 + ... + 24973912.

It is an arithmetic number, because the mean of its divisors is an integer number (280594125).

Almost surely, 216008072472 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 16008072472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958024000).

16008072472 is an abundant number, since it is smaller than the sum of its proper divisors (19907975528).

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

16008072472 is a wasteful number, since it uses less digits than its factorization.

16008072472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 16008072472 in words is "sixteen billion, eight million, seventy-two thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 41 56 73 82 146 149 164 287 292 298 328 511 574 584 596 641 1022 1043 1148 1192 1282 2044 2086 2296 2564 2993 4088 4172 4487 5128 5986 6109 8344 8974 10877 11972 12218 17948 20951 21754 23944 24436 26281 35896 41902 42763 43508 46793 48872 52562 76139 83804 85526 87016 93586 95509 105124 152278 167608 171052 183967 187172 191018 210248 304556 327551 342104 367934 374344 382036 445957 609112 655102 668563 735868 764072 891914 1310204 1337126 1471736 1783828 1918513 2620408 2674252 3121699 3567656 3837026 3915869 5348504 6243398 6972157 7674052 7831738 12486796 13429591 13944314 15348104 15663476 24973592 26859182 27411083 27888628 31326952 48805099 53718364 54822166 55777256 97610198 107436728 109644332 195220396 219288664 285858437 390440792 571716874 1143433748 2001009059 2286867496 4002018118 8004036236 16008072472