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16966241424 = 24331115722741
BaseRepresentation
bin11111100110100010…
…00100110010010000
31121210101222100212000
433303101010302100
5234221324211144
611443313234000
71140303446466
oct176321046220
947711870760
1016966241424
117217001330
123355b62900
1317a5003712
14b6d412836
15694759769
hex3f3444c90

16966241424 has 160 divisors (see below), whose sum is σ = 53467351680. Its totient is φ = 5108313600.

The previous prime is 16966241407. The next prime is 16966241431. The reversal of 16966241424 is 42414266961.

16966241424 is a `hidden beast` number, since 1 + 6 + 9 + 6 + 624 + 14 + 2 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16966241424.

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, 734694 + ... + 757434.

It is an arithmetic number, because the mean of its divisors is an integer number (334170948).

Almost surely, 216966241424 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 16966241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26733675840).

16966241424 is an abundant number, since it is smaller than the sum of its proper divisors (36501110256).

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

16966241424 is a wasteful number, since it uses less digits than its factorization.

16966241424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22926 (or 22914 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 16966241424 in words is "sixteen billion, nine hundred sixty-six million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 157 176 198 216 264 297 314 396 432 471 528 594 628 792 942 1188 1256 1413 1584 1727 1884 2376 2512 2826 3454 3768 4239 4752 5181 5652 6908 7536 8478 10362 11304 13816 15543 16956 20724 22608 22741 27632 31086 33912 41448 45482 46629 62172 67824 68223 82896 90964 93258 124344 136446 181928 186516 204669 248688 250151 272892 363856 373032 409338 500302 545784 614007 746064 750453 818676 1000604 1091568 1228014 1500906 1637352 2001208 2251359 2456028 3001812 3274704 3570337 4002416 4502718 4912056 6003624 6754077 7140674 9005436 9824112 10711011 12007248 13508154 14281348 18010872 21422022 27016308 28562696 32133033 36021744 39273707 42844044 54032616 57125392 64266066 78547414 85688088 96399099 108065232 117821121 128532132 157094828 171376176 192798198 235642242 257064264 314189656 353463363 385596396 471284484 514128528 628379312 706926726 771192792 942568968 1060390089 1413853452 1542385584 1885137936 2120780178 2827706904 4241560356 5655413808 8483120712 16966241424