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4016296116 = 2233753100237
BaseRepresentation
bin1110111101100011…
…1101000010110100
3101100220100222112000
43233120331002310
531211132433431
61502311055300
7201345645060
oct35730750264
911326328460
104016296116
111781104798
12941071530
134c0108ca1
142a1596aa0
151878e39e6
hexef63d0b4

4016296116 has 96 divisors (see below), whose sum is σ = 12124788480. Its totient is φ = 1125850752.

The previous prime is 4016296111. The next prime is 4016296117. The reversal of 4016296116 is 6116926104.

4016296116 is a `hidden beast` number, since 4 + 0 + 16 + 29 + 611 + 6 = 666.

It is a super-2 number, since 2×40162961162 = 32261268982793370912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4016296111) 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, 10051 + ... + 90186.

It is an arithmetic number, because the mean of its divisors is an integer number (126299880).

Almost surely, 24016296116 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 4016296116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6062394240).

4016296116 is an abundant number, since it is smaller than the sum of its proper divisors (8108492364).

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

4016296116 is a wasteful number, since it uses less digits than its factorization.

4016296116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100310 (or 100302 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 4016296116 is about 63374.2543624775. The cubic root of 4016296116 is about 1589.5538370800.

The spelling of 4016296116 in words is "four billion, sixteen million, two hundred ninety-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 84 106 108 126 159 189 212 252 318 371 378 477 636 742 756 954 1113 1431 1484 1908 2226 2862 3339 4452 5724 6678 10017 13356 20034 40068 100237 200474 300711 400948 601422 701659 902133 1202844 1403318 1804266 2104977 2706399 2806636 3608532 4209954 5312561 5412798 6314931 8419908 10625122 10825596 12629862 15937683 18944793 21250244 25259724 31875366 37187927 37889586 47813049 63750732 74375854 75779172 95626098 111563781 143439147 148751708 191252196 223127562 286878294 334691343 446255124 573756588 669382686 1004074029 1338765372 2008148058 4016296116