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2143966704 = 24311107137277
BaseRepresentation
bin111111111001010…
…0101010111110000
312112102020210102020
41333302211113300
513342323413304
6552424351440
7104062262535
oct17762452760
95472223366
102143966704
11a00238a10
124ba015580
13282243069
14164a52d8c
15c834e5d9
hex7fca55f0

2143966704 has 160 divisors (see below), whose sum is σ = 6165248256. Its totient is φ = 636610560.

The previous prime is 2143966691. The next prime is 2143966709. The reversal of 2143966704 is 4076693412.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2143966709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7739814 + ... + 7740090.

Almost surely, 22143966704 is an apocalyptic number.

2143966704 is a gapful number since it is divisible by the number (24) 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 2143966704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082624128).

2143966704 is an abundant number, since it is smaller than the sum of its proper divisors (4021281552).

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

2143966704 is a wasteful number, since it uses less digits than its factorization.

2143966704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 2143966704 is about 46302.9880677263. The cubic root of 2143966704 is about 1289.4544703725.

The spelling of 2143966704 in words is "two billion, one hundred forty-three million, nine hundred sixty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 107 132 137 176 214 264 274 277 321 411 428 528 548 554 642 822 831 856 1096 1108 1177 1284 1507 1644 1662 1712 2192 2216 2354 2568 3014 3047 3288 3324 3531 4432 4521 4708 5136 6028 6094 6576 6648 7062 9042 9141 9416 12056 12188 13296 14124 14659 18084 18282 18832 24112 24376 28248 29318 29639 36168 36564 37949 43977 48752 56496 58636 59278 72336 73128 75898 87954 88917 113847 117272 118556 146256 151796 161249 175908 177834 227694 234544 237112 303592 322498 326029 351816 355668 417439 455388 474224 483747 607184 644996 652058 703632 711336 834878 910776 967494 978087 1252317 1289992 1304116 1422672 1669756 1821552 1934988 1956174 2504634 2579984 2608232 3339512 3869976 3912348 4060543 5009268 5216464 6679024 7739952 7824696 8121086 10018536 12181629 15649392 16242172 20037072 24363258 32484344 44665973 48726516 64968688 89331946 97453032 133997919 178663892 194906064 267995838 357327784 535991676 714655568 1071983352 2143966704