Search a number
-
+
3038093674848 = 253241347741473
BaseRepresentation
bin101100001101011100011…
…111101000100101100000
3101202102211222020110110100
4230031130133220211200
5344234003440043343
610243403031102400
7432331536102441
oct54153437504540
911672758213410
103038093674848
11a714a2749491
12410977511a00
1319064c9758cb
14a708a2312c8
1554063bbd9d3
hex2c35c7e8960

3038093674848 has 144 divisors (see below), whose sum is σ = 8875817482896. Its totient is φ = 985149358080.

The previous prime is 3038093674841. The next prime is 3038093674859. The reversal of 3038093674848 is 8484763908303.

3038093674848 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 0 + 93 + 67 + 484 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3038093674841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3726640 + ... + 4468112.

It is an arithmetic number, because the mean of its divisors is an integer number (61637621409).

Almost surely, 23038093674848 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 3038093674848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4437908741448).

3038093674848 is an abundant number, since it is smaller than the sum of its proper divisors (5837723808048).

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

3038093674848 is a wasteful number, since it uses less digits than its factorization.

3038093674848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741877 (or 741866 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3038093674848 in words is "three trillion, thirty-eight billion, ninety-three million, six hundred seventy-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 72 82 96 123 144 164 246 288 328 347 369 492 656 694 738 984 1041 1312 1388 1476 1968 2082 2776 2952 3123 3936 4164 5552 5904 6246 8328 11104 11808 12492 14227 16656 24984 28454 33312 42681 49968 56908 85362 99936 113816 128043 170724 227632 256086 341448 455264 512172 682896 741473 1024344 1365792 1482946 2048688 2224419 2965892 4097376 4448838 5931784 6673257 8897676 11863568 13346514 17795352 23727136 26693028 30400393 35590704 53386056 60800786 71181408 91201179 106772112 121601572 182402358 213544224 243203144 257291131 273603537 364804716 486406288 514582262 547207074 729609432 771873393 972812576 1029164524 1094414148 1459218864 1543746786 2058329048 2188828296 2315620179 2918437728 3087493572 4116658096 4377656592 4631240358 6174987144 8233316192 8755313184 9262480716 10548936371 12349974288 18524961432 21097872742 24699948576 31646809113 37049922864 42195745484 63293618226 74099845728 84391490968 94940427339 126587236452 168782981936 189880854678 253174472904 337565963872 379761709356 506348945808 759523418712 1012697891616 1519046837424 3038093674848