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3996859736736 = 253237449835369
BaseRepresentation
bin111010001010010111011…
…001111010001010100000
3112011002121000201210120100
4322022113121322022200
51010441032043033421
612300044303142400
7561522624132456
oct72122731721240
915132530653510
103996859736736
11130107113a379
125467502a4a00
1322cb963440a9
14db6402649d6
156de7a45bc26
hex3a29767a2a0

3996859736736 has 144 divisors (see below), whose sum is σ = 11699273313000. Its totient is φ = 1293390249984.

The previous prime is 3996859736707. The next prime is 3996859736761. The reversal of 3996859736736 is 6376379586993.

It is a happy number.

3996859736736 is a `hidden beast` number, since 3 + 9 + 96 + 85 + 97 + 367 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3446800181136 + 550059555600 = 1856556^2 + 741660^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4366860 + ... + 5202228.

Almost surely, 23996859736736 is an apocalyptic number.

3996859736736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996859736736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5849636656500).

3996859736736 is an abundant number, since it is smaller than the sum of its proper divisors (7702413576264).

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

3996859736736 is a wasteful number, since it uses less digits than its factorization.

3996859736736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835871 (or 835860 counting only the distinct ones).

The product of its digits is 8332994880, while the sum is 81.

The spelling of 3996859736736 in words is "three trillion, nine hundred ninety-six billion, eight hundred fifty-nine million, seven hundred thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 449 592 666 888 898 1184 1332 1347 1776 1796 2664 2694 3552 3592 4041 5328 5388 7184 8082 10656 10776 14368 16164 16613 21552 32328 33226 43104 49839 64656 66452 99678 129312 132904 149517 199356 265808 299034 398712 531616 598068 797424 835369 1196136 1594848 1670738 2392272 2506107 3341476 4784544 5012214 6682952 7518321 10024428 13365904 15036642 20048856 26731808 30073284 30908653 40097712 60146568 61817306 80195424 92725959 120293136 123634612 185451918 240586272 247269224 278177877 370903836 375080681 494538448 556355754 741807672 750161362 989076896 1112711508 1125242043 1483615344 1500322724 2225423016 2250484086 2967230688 3000645448 3375726129 4450846032 4500968172 6001290896 6751452258 8901692064 9001936344 12002581792 13502904516 13877985197 18003872688 27005809032 27755970394 36007745376 41633955591 54011618064 55511940788 83267911182 108023236128 111023881576 124901866773 166535822364 222047763152 249803733546 333071644728 444095526304 499607467092 666143289456 999214934184 1332286578912 1998429868368 3996859736736