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216706639424 = 261114911031873
BaseRepresentation
bin1100100111010010111…
…0001110011001000000
3202201100122202220100112
43021310232032121000
512022303344430144
6243315331210452
721441123020402
oct3116456163100
9681318686315
10216706639424
11839a5280720
1235bba746a28
13175875ca832
14a6bac38b72
155984eee99e
hex3274b8e640

216706639424 has 112 divisors (see below), whose sum is σ = 472949625600. Its totient is φ = 97701027840.

The previous prime is 216706639421. The next prime is 216706639447. The reversal of 216706639424 is 424936607612.

It is not an unprimeable number, because it can be changed into a prime (216706639421) 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, 115699352 + ... + 115701224.

Almost surely, 2216706639424 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 216706639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236474812800).

216706639424 is an abundant number, since it is smaller than the sum of its proper divisors (256242986176).

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

216706639424 is a wasteful number, since it uses less digits than its factorization.

216706639424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3148 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 50.

The spelling of 216706639424 in words is "two hundred sixteen billion, seven hundred six million, six hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 149 176 298 352 596 704 1103 1192 1639 1873 2206 2384 3278 3746 4412 4768 6556 7492 8824 9536 12133 13112 14984 17648 20603 24266 26224 29968 35296 41206 48532 52448 59936 70592 82412 97064 104896 119872 164347 164824 194128 279077 328694 329648 388256 558154 657388 659296 776512 1116308 1314776 1318592 1807817 2065919 2232616 2629552 3069847 3615634 4131838 4465232 5259104 6139694 7231268 8263676 8930464 10518208 12279388 14462536 16527352 17860928 22725109 24558776 28925072 33054704 45450218 49117552 57850144 66109408 90900436 98235104 115700288 132218816 181800872 196470208 307821931 363601744 615643862 727203488 1231287724 1454406976 2462575448 3386041241 4925150896 6772082482 9850301792 13544164964 19700603584 27088329928 54176659856 108353319712 216706639424