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4116231936 = 28322636793
BaseRepresentation
bin1111010101011000…
…1011011100000000
3101121212102020200200
43311112023130000
531412223410221
61520241045200
7204001252125
oct36526133400
911555366620
104116231936
111822561a83
1296a626800
13507a294cb
142b096c74c
15191584426
hexf558b700

4116231936 has 108 divisors (see below), whose sum is σ = 11914991088. Its totient is φ = 1366659072.

The previous prime is 4116231923. The next prime is 4116231943. The reversal of 4116231936 is 6391326114.

4116231936 is a `hidden beast` number, since 4 + 11 + 623 + 19 + 3 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4116231936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 602556 + ... + 609348.

Almost surely, 24116231936 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 4116231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5957495544).

4116231936 is an abundant number, since it is smaller than the sum of its proper divisors (7798759152).

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

4116231936 is a wasteful number, since it uses less digits than its factorization.

4116231936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7078 (or 7061 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 4116231936 is about 64157.8672962249. The cubic root of 4116231936 is about 1602.6300411003.

The spelling of 4116231936 in words is "four billion, one hundred sixteen million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 263 288 384 526 576 768 789 1052 1152 1578 2104 2304 2367 3156 4208 4734 6312 6793 8416 9468 12624 13586 16832 18936 20379 25248 27172 33664 37872 40758 50496 54344 61137 67328 75744 81516 100992 108688 122274 151488 163032 201984 217376 244548 302976 326064 434752 489096 605952 652128 869504 978192 1304256 1739008 1786559 1956384 2608512 3573118 3912768 5217024 5359677 7146236 7825536 10719354 14292472 15651072 16079031 21438708 28584944 32158062 42877416 57169888 64316124 85754832 114339776 128632248 171509664 228679552 257264496 343019328 457359104 514528992 686038656 1029057984 1372077312 2058115968 4116231936