Search a number
-
+
29065094352 = 2433719505867
BaseRepresentation
bin11011000100011010…
…100010010011010000
32210000121002202221000
4123010122202103100
5434011131004402
621204033502000
72046155140260
oct330432422320
983017082830
1029065094352
1111365540638
125771a11900
1329827998a8
14159a2037a0
15b51a04c1c
hex6c46a24d0

29065094352 has 160 divisors (see below), whose sum is σ = 100364211200. Its totient is φ = 7867228032.

The previous prime is 29065094339. The next prime is 29065094353. The reversal of 29065094352 is 25349056092.

29065094352 is a `hidden beast` number, since 2 + 90 + 6 + 509 + 4 + 3 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29065094298 and 29065094307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29065094353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195478 + ... + 310389.

It is an arithmetic number, because the mean of its divisors is an integer number (627276320).

Almost surely, 229065094352 is an apocalyptic number.

It is an amenable number.

29065094352 is an abundant number, since it is smaller than the sum of its proper divisors (71299116848).

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

29065094352 is a wasteful number, since it uses less digits than its factorization.

29065094352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505910 (or 505898 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 29065094352 in words is "twenty-nine billion, sixty-five million, ninety-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57456 505867 1011734 1517601 2023468 3035202 3541069 4046936 4552803 6070404 7082138 8093872 9105606 9611473 10623207 12140808 13658409 14164276 18211212 19222946 21246414 24281616 27316818 28328552 28834419 31869621 36422424 38445892 42492828 54633636 56657104 57668838 63739242 67280311 72844848 76891784 84985656 86503257 95608863 109267272 115337676 127478484 134560622 153783568 169971312 173006514 191217726 201840933 218534544 230675352 254956968 259509771 269121244 346013028 382435452 403681866 461350704 509913936 519019542 538242488 605522799 692026056 764870904 807363732 1038039084 1076484976 1211045598 1384052112 1529741808 1614727464 1816568397 2076078168 2422091196 3229454928 3633136794 4152156336 4844182392 7266273588 9688364784 14532547176 29065094352