Search a number
-
+
29503815690 = 23517312776737
BaseRepresentation
bin11011011110100100…
…001000000000001010
32211011011122010110110
4123132210020000022
5440410434100230
621315345055150
72063063203236
oct333644100012
984134563413
1029503815690
1111570153458
1258749274b6
132a22647a0b
1415dc5a75c6
15b7a2b64b0
hex6de90800a

29503815690 has 128 divisors (see below), whose sum is σ = 77683857408. Its totient is φ = 7139082240.

The previous prime is 29503815647. The next prime is 29503815743. The reversal of 29503815690 is 9651830592.

It is a happy number.

It is a super-2 number, since 2×295038156902 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4376002 + ... + 4382738.

It is an arithmetic number, because the mean of its divisors is an integer number (606905136).

Almost surely, 229503815690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29503815690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38841928704).

29503815690 is an abundant number, since it is smaller than the sum of its proper divisors (48180041718).

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

29503815690 is a wasteful number, since it uses less digits than its factorization.

29503815690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072.

The product of its (nonzero) digits is 583200, while the sum is 48.

The spelling of 29503815690 in words is "twenty-nine billion, five hundred three million, eight hundred fifteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 277 310 465 510 527 554 831 930 1054 1385 1581 1662 2635 2770 3162 4155 4709 5270 6737 7905 8310 8587 9418 13474 14127 15810 17174 20211 23545 25761 28254 33685 40422 42935 47090 51522 67370 70635 85870 101055 114529 128805 141270 145979 202110 208847 229058 257610 291958 343587 417694 437937 572645 626541 687174 729895 875874 1044235 1145290 1253082 1459790 1717935 1866149 2088470 2189685 3132705 3435870 3550399 3732298 4379370 5598447 6265410 7100798 9330745 10651197 11196894 17751995 18661490 21302394 27992235 31724533 35503990 53255985 55984470 57850619 63449066 95173599 106511970 115701238 158622665 173551857 190347198 289253095 317245330 347103714 475867995 578506190 867759285 951735990 983460523 1735518570 1966921046 2950381569 4917302615 5900763138 9834605230 14751907845 29503815690