Search a number
-
+
4032852873104 = 2411292812811871
BaseRepresentation
bin111010101011111000110…
…000110100111110010000
3112021112111110011120111002
4322223320300310332100
51012033240313414404
612324400025041132
7564235565552216
oct72537060647620
915245443146432
104032852873104
111315361346470
125517163261a8
132333b1240b13
14dd296612cb6
156ed852b4c1e
hex3aaf8c34f90

4032852873104 has 80 divisors (see below), whose sum is σ = 8849298608640. Its totient is φ = 1763604864000.

The previous prime is 4032852873097. The next prime is 4032852873167. The reversal of 4032852873104 is 4013782582304.

It is a super-2 number, since 2×40328528731042 (a number of 26 digits) contains 22 as substring.

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, 28289 + ... + 2840159.

It is an arithmetic number, because the mean of its divisors is an integer number (110616232608).

Almost surely, 24032852873104 is an apocalyptic number.

4032852873104 is a gapful number since it is divisible by the number (44) 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 4032852873104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424649304320).

4032852873104 is an abundant number, since it is smaller than the sum of its proper divisors (4816445735536).

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

4032852873104 is a wasteful number, since it uses less digits than its factorization.

4032852873104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812200 (or 2812194 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 4032852873104 in words is "four trillion, thirty-two billion, eight hundred fifty-two million, eight hundred seventy-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 281 319 464 562 638 1124 1276 2248 2552 3091 4496 5104 6182 8149 12364 16298 24728 32596 49456 65192 89639 130384 179278 358556 717112 1434224 2811871 5623742 11247484 22494968 30930581 44989936 61861162 81544259 123722324 163088518 247444648 326177036 494889296 652354072 790135751 896986849 1304708144 1580271502 1793973698 3160543004 3587947396 6321086008 7175894792 8691493261 12642172016 14351789584 17382986522 22913936779 34765973044 45827873558 69531946088 91655747116 139063892176 183311494232 252053304569 366622988464 504106609138 1008213218276 2016426436552 4032852873104