Search a number
-
+
29305250832 = 243111331137723
BaseRepresentation
bin11011010010101110…
…101010010000010000
32210122022222222200110
4123102232222100100
5440004121011312
621243533121320
72055132344034
oct332256522020
983568888613
1029305250832
1111479060770
12581a329240
1329c0473a10
1415c007a1c4
15b67b4243c
hex6d2baa410

29305250832 has 160 divisors (see below), whose sum is σ = 91810123776. Its totient is φ = 7932787200.

The previous prime is 29305250783. The next prime is 29305250861. The reversal of 29305250832 is 23805250392.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143923 + ... + 281645.

Almost surely, 229305250832 is an apocalyptic number.

29305250832 is a gapful number since it is divisible by the number (22) 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 29305250832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45905061888).

29305250832 is an abundant number, since it is smaller than the sum of its proper divisors (62504872944).

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

29305250832 is a wasteful number, since it uses less digits than its factorization.

29305250832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137789 (or 137783 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 29305250832 in words is "twenty-nine billion, three hundred five million, two hundred fifty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 31 33 39 44 48 52 62 66 78 88 93 104 124 132 143 156 176 186 208 248 264 286 312 341 372 403 429 496 528 572 624 682 744 806 858 1023 1144 1209 1364 1488 1612 1716 2046 2288 2418 2728 3224 3432 4092 4433 4836 5456 6448 6864 8184 8866 9672 13299 16368 17732 19344 26598 35464 53196 70928 106392 137723 212784 275446 413169 550892 826338 1101784 1514953 1652676 1790399 2203568 3029906 3305352 3580798 4269413 4544859 5371197 6059812 6610704 7161596 8538826 9089718 10742394 12119624 12808239 14323192 17077652 18179436 19694389 21484788 24239248 25616478 28646384 34155304 36358872 39388778 42969576 46963543 51232956 55502369 59083167 68310608 72717744 78777556 85939152 93927086 102465912 111004738 118166334 140890629 157555112 166507107 187854172 204931824 222009476 236332668 281781258 315110224 333014214 375708344 444018952 472665336 563562516 610526059 666028428 751416688 888037904 945330672 1127125032 1221052118 1332056856 1831578177 2254250064 2442104236 2664113712 3663156354 4884208472 7326312708 9768416944 14652625416 29305250832