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16557090396 = 22372115348299
BaseRepresentation
bin11110110101110000…
…10010011001011100
31120201220002100011020
433122320102121130
5232402103343041
611334535524140
71124204642400
oct173270223134
946656070136
1016557090396
117027056090
123260b29650
13173b309b12
14b30d49100
1566d889866
hex3dae1265c

16557090396 has 144 divisors (see below), whose sum is σ = 49952246400. Its totient is φ = 4219313280.

The previous prime is 16557090353. The next prime is 16557090397. The reversal of 16557090396 is 69309075561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16557090397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318655 + ... + 366953.

It is an arithmetic number, because the mean of its divisors is an integer number (346890600).

Almost surely, 216557090396 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 16557090396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24976123200).

16557090396 is an abundant number, since it is smaller than the sum of its proper divisors (33395156004).

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

16557090396 is a wasteful number, since it uses less digits than its factorization.

16557090396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48384 (or 48375 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 51.

The spelling of 16557090396 in words is "sixteen billion, five hundred fifty-seven million, ninety thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 53 66 77 84 98 106 132 147 154 159 196 212 231 294 308 318 371 462 539 583 588 636 742 924 1078 1113 1166 1484 1617 1749 2156 2226 2332 2597 3234 3498 4081 4452 5194 6468 6996 7791 8162 10388 12243 15582 16324 24486 28567 31164 48299 48972 57134 85701 96598 114268 144897 171402 193196 289794 338093 342804 531289 579588 676186 1014279 1062578 1352372 1593867 2028558 2125156 2366651 2559847 3187734 3719023 4057116 4733302 5119694 6375468 7099953 7438046 7679541 9466604 10239388 11157069 14199906 14876092 15359082 17918929 22314138 26033161 28158317 28399812 30718164 35837858 44628276 52066322 53756787 56316634 71675716 78099483 84474951 104132644 107513574 112633268 125432503 156198966 168949902 197108219 215027148 250865006 312397932 337899804 376297509 394216438 501730012 591324657 752595018 788432876 1182649314 1379757533 1505190036 2365298628 2759515066 4139272599 5519030132 8278545198 16557090396