Search a number
-
+
3973021422096 = 2431072099368539
BaseRepresentation
bin111001110100001010100…
…001111101001000010000
3112001211001200201221111010
4321310022201331020100
51010043221441001341
612241103021250520
7560020113611046
oct71641241751020
915054050657433
103973021422096
1112a1a4901a7a1
12541bb8a03a40
1322a8676a867c
14da41c2b6396
156d532757716
hex39d0a87d210

3973021422096 has 80 divisors (see below), whose sum is σ = 10364524128000. Its totient is φ = 1311334859904.

The previous prime is 3973021422079. The next prime is 3973021422119. The reversal of 3973021422096 is 6902241203793.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10596195 + ... + 10964733.

It is an arithmetic number, because the mean of its divisors is an integer number (129556551600).

Almost surely, 23973021422096 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 3973021422096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182262064000).

3973021422096 is an abundant number, since it is smaller than the sum of its proper divisors (6391502705904).

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

3973021422096 is a wasteful number, since it uses less digits than its factorization.

3973021422096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370756 (or 370750 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 3973021422096 in words is "three trillion, nine hundred seventy-three billion, twenty-one million, four hundred twenty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1284 1712 2099 2568 4198 5136 6297 8396 12594 16792 25188 33584 50376 100752 224593 368539 449186 673779 737078 898372 1105617 1347558 1474156 1796744 2211234 2695116 2948312 3593488 4422468 5390232 5896624 8844936 10780464 17689872 39433673 78867346 118301019 157734692 236602038 315469384 473204076 630938768 773563361 946408152 1547126722 1892816304 2320690083 3094253444 4641380166 6188506888 9282760332 12377013776 18565520664 37131041328 82771279627 165542559254 248313838881 331085118508 496627677762 662170237016 993255355524 1324340474032 1986510711048 3973021422096