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4149355512 = 23317157211307
BaseRepresentation
bin1111011101010010…
…0010001111111000
3101201011202002200210
43313110202033320
531444213334022
61523423031120
7204552640251
oct36724421770
911634662623
104149355512
11183a226235
1297973b4a0
13511856163
142b5111b28
15194428a0c
hexf75223f8

4149355512 has 128 divisors (see below), whose sum is σ = 11142109440. Its totient is φ = 1283143680.

The previous prime is 4149355499. The next prime is 4149355519. The reversal of 4149355512 is 2155539414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4149355519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13515663 + ... + 13515969.

It is an arithmetic number, because the mean of its divisors is an integer number (87047730).

Almost surely, 24149355512 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 4149355512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571054720).

4149355512 is an abundant number, since it is smaller than the sum of its proper divisors (6992753928).

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

4149355512 is a wasteful number, since it uses less digits than its factorization.

4149355512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 697 counting only the distinct ones).

The product of its digits is 108000, while the sum is 39.

The square root of 4149355512 is about 64415.4912424022. The cubic root of 4149355512 is about 1606.9173828272.

The spelling of 4149355512 in words is "four billion, one hundred forty-nine million, three hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 157 204 211 307 314 408 422 471 614 628 633 844 921 942 1228 1256 1266 1688 1842 1884 2456 2532 2669 3587 3684 3768 5064 5219 5338 7174 7368 8007 10438 10676 10761 14348 15657 16014 20876 21352 21522 28696 31314 32028 33127 41752 43044 48199 62628 64056 64777 66254 86088 96398 99381 125256 129554 132508 144597 192796 194331 198762 259108 265016 289194 385592 388662 397524 518216 563159 578388 777324 795048 819383 1101209 1126318 1156776 1554648 1638766 1689477 2202418 2252636 2458149 3277532 3303627 3378954 4404836 4505272 4916298 6555064 6607254 6757908 8809672 9832596 10169989 13214508 13515816 19665192 20339978 26429016 30509967 40679956 61019934 81359912 122039868 172889813 244079736 345779626 518669439 691559252 1037338878 1383118504 2074677756 4149355512