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4215106304 = 28374379131
BaseRepresentation
bin1111101100111101…
…0110101100000000
3101212202110120211022
43323033112230000
532113031400204
61534132205012
7206311545443
oct37317265400
911782416738
104215106304
111873354832
12997769768
13522367856
142bdb4965a
1519a0b55be
hexfb3d6b00

4215106304 has 144 divisors (see below), whose sum is σ = 9022379520. Its totient is φ = 1962455040.

The previous prime is 4215106303. The next prime is 4215106307. The reversal of 4215106304 is 4036015124.

It is not an unprimeable number, because it can be changed into a prime (4215106303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32176319 + ... + 32176449.

Almost surely, 24215106304 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 4215106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4511189760).

4215106304 is an abundant number, since it is smaller than the sum of its proper divisors (4807273216).

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

4215106304 is a wasteful number, since it uses less digits than its factorization.

4215106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 4215106304 is about 64923.8500398736. The cubic root of 4215106304 is about 1615.3606921213.

The spelling of 4215106304 in words is "four billion, two hundred fifteen million, one hundred six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 37 43 64 74 79 86 128 131 148 158 172 256 262 296 316 344 524 592 632 688 1048 1184 1264 1376 1591 2096 2368 2528 2752 2923 3182 3397 4192 4736 4847 5056 5504 5633 5846 6364 6794 8384 9472 9694 10112 10349 11008 11266 11692 12728 13588 16768 19388 20224 20698 22532 23384 25456 27176 33536 38776 41396 45064 46768 50912 54352 77552 82792 90128 93536 101824 108704 125689 155104 165584 180256 187072 203648 208421 217408 251378 310208 331168 360512 374144 382913 407296 416842 434816 445007 502756 620416 662336 721024 748288 765826 833684 869632 890014 1005512 1240832 1324672 1442048 1531652 1667368 1780028 2011024 2649344 3063304 3334736 3560056 4022048 6126608 6669472 7120112 8044096 12253216 13338944 14240224 16088192 16465259 24506432 26677888 28480448 32176384 32930518 49012864 53355776 56960896 65861036 98025728 113921792 131722072 263444144 526888288 1053776576 2107553152 4215106304