Search a number
-
+
103104469728 = 2534133059843
BaseRepresentation
bin110000000000110000…
…0010101101011100000
3100212010112020202010000
41200001200111223200
53142124221012403
6115210542340000
710310011350441
oct1400140255340
9325115222100
10103104469728
113a7a9870167
1217b9558a600
139951a41090
144dc149d2c8
152a36a677a3
hex1801815ae0

103104469728 has 120 divisors (see below), whose sum is σ = 326552671368. Its totient is φ = 31724441856.

The previous prime is 103104469723. The next prime is 103104469733. The reversal of 103104469728 is 827964401301.

103104469728 is a `hidden beast` number, since 10 + 3 + 104 + 469 + 72 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (103104469723) and next prime (103104469733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103104469723) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1496226 + ... + 1563617.

Almost surely, 2103104469728 is an apocalyptic number.

103104469728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103104469728 is an abundant number, since it is smaller than the sum of its proper divisors (223448201640).

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

103104469728 is a wasteful number, since it uses less digits than its factorization.

103104469728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3059878 (or 3059861 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 103104469728 in words is "one hundred three billion, one hundred four million, four hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 3059843 6119686 9179529 12239372 18359058 24478744 27538587 36718116 39777959 48957488 55077174 73436232 79555918 82615761 97914976 110154348 119333877 146872464 159111836 165231522 220308696 238667754 247847283 293744928 318223672 330463044 358001631 440617392 477335508 495694566 636447344 660926088 716003262 881234784 954671016 991389132 1074004893 1272894688 1321852176 1432006524 1909342032 1982778264 2148009786 2643704352 2864013048 3222014679 3818684064 3965556528 4296019572 5728026096 6444029358 7931113056 8592039144 11456052192 12888058716 17184078288 25776117432 34368156576 51552234864 103104469728