Search a number
-
+
29152182930 = 235131719123021
BaseRepresentation
bin11011001001100110…
…110000001010010010
32210020122222022222220
4123021212300022102
5434200424323210
621220424241510
72051263315653
oct331146601222
983218868886
1029152182930
11113aa713572
125797010296
13299783c5b0
1415a79d352a
15b594a8c70
hex6c99b0292

29152182930 has 128 divisors (see below), whose sum is σ = 80200544256. Its totient is φ = 6718156800.

The previous prime is 29152182919. The next prime is 29152182937. The reversal of 29152182930 is 3928125192.

It is not an unprimeable number, because it can be changed into a prime (29152182937) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1254820 + ... + 1277840.

It is an arithmetic number, because the mean of its divisors is an integer number (626566752).

Almost surely, 229152182930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29152182930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40100272128).

29152182930 is an abundant number, since it is smaller than the sum of its proper divisors (51048361326).

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

29152182930 is a wasteful number, since it uses less digits than its factorization.

29152182930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23252.

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 29152182930 in words is "twenty-nine billion, one hundred fifty-two million, one hundred eighty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 78 85 102 130 170 191 195 221 255 382 390 442 510 573 663 955 1105 1146 1326 1910 2210 2483 2865 3247 3315 4966 5730 6494 6630 7449 9741 12415 14898 16235 19482 23021 24830 32470 37245 42211 46042 48705 69063 74490 84422 97410 115105 126633 138126 211055 230210 253266 299273 345315 391357 422110 598546 633165 690630 782714 897819 1174071 1266330 1496365 1795638 1956785 2348142 2992730 3913570 4397011 4489095 5087641 5870355 8794022 8978190 10175282 11740710 13191033 15262923 21985055 25438205 26382066 30525846 43970110 50876410 57161143 65955165 74749187 76314615 114322286 131910330 149498374 152629230 171483429 224247561 285805715 342966858 373745935 448495122 571611430 747491870 857417145 971739431 1121237805 1714834290 1943478862 2242475610 2915218293 4858697155 5830436586 9717394310 14576091465 29152182930