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16442615664272 = 247318357057547
BaseRepresentation
bin1110111101000101100001…
…0001000000111010010000
32011012220021011020020001102
43233101120101000322100
54123343434102224042
654545344445523532
73314640226051610
oct357213021007220
964186234206042
1016442615664272
11526a301980116
121a168328735a8
139236bba74935
1440bb80c0aa40
151d7a9bc32b32
hexef458440e90

16442615664272 has 80 divisors (see below), whose sum is σ = 38035930877952. Its totient is φ = 6737355031680.

The previous prime is 16442615664259. The next prime is 16442615664281. The reversal of 16442615664272 is 27246651624461.

It is a happy number.

It is a super-3 number, since 3×164426156642723 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28240598 + ... + 28816949.

Almost surely, 216442615664272 is an apocalyptic number.

It is an amenable number.

16442615664272 is an abundant number, since it is smaller than the sum of its proper divisors (21593315213680).

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

16442615664272 is a wasteful number, since it uses less digits than its factorization.

16442615664272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57057676 (or 57057670 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 56.

The spelling of 16442615664272 in words is "sixteen trillion, four hundred forty-two billion, six hundred fifteen million, six hundred sixty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 83 112 124 166 217 248 332 434 496 581 664 868 1162 1328 1736 2324 2573 3472 4648 5146 9296 10292 18011 20584 36022 41168 72044 144088 288176 57057547 114115094 228230188 399402829 456460376 798805658 912920752 1597611316 1768783957 3195222632 3537567914 4735776401 6390445264 7075135828 9471552802 12381487699 14150271656 18943105604 24762975398 28300543312 33150434807 37886211208 49525950796 66300869614 75772422416 99051901592 132601739228 146809068431 198103803184 265203478456 293618136862 530406956912 587236273724 1027663479017 1174472547448 2055326958034 2348945094896 4110653916068 8221307832136 16442615664272