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29315027952 = 2433719510217
BaseRepresentation
bin11011010011010011…
…111101001111110000
32210200000101201101000
4123103103331033300
5440014121343302
621244522442000
72055311424540
oct332323751760
983600351330
1029315027952
1111483629431
125821663300
1329c24b7cb2
1415c14a3320
15b6892431c
hex6d34fd3f0

29315027952 has 160 divisors (see below), whose sum is σ = 101227251200. Its totient is φ = 7934879232.

The previous prime is 29315027947. The next prime is 29315027981. The reversal of 29315027952 is 25972051392.

29315027952 is a `hidden beast` number, since 2 + 93 + 1 + 502 + 7 + 9 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29315027898 and 29315027907.

It is a congruent number.

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, 197653 + ... + 312564.

It is an arithmetic number, because the mean of its divisors is an integer number (632670320).

Almost surely, 229315027952 is an apocalyptic number.

It is an amenable number.

29315027952 is an abundant number, since it is smaller than the sum of its proper divisors (71912223248).

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

29315027952 is a wasteful number, since it uses less digits than its factorization.

29315027952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510260 (or 510248 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 29315027952 in words is "twenty-nine billion, three hundred fifteen million, twenty-seven thousand, nine 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 510217 1020434 1530651 2040868 3061302 3571519 4081736 4591953 6122604 7143038 8163472 9183906 9694123 10714557 12245208 13775859 14286076 18367812 19388246 21429114 24490416 27551718 28572152 29082369 32143671 36735624 38776492 42858228 55103436 57144304 58164738 64287342 67858861 73471248 77552984 85716456 87247107 96431013 110206872 116329476 128574684 135717722 155105968 171432912 174494214 192862026 203576583 220413744 232658952 257149368 261741321 271435444 348988428 385724052 407153166 465317904 514298736 523482642 542870888 610729749 697976856 771448104 814306332 1046965284 1085741776 1221459498 1395953712 1542896208 1628612664 1832189247 2093930568 2442918996 3257225328 3664378494 4187861136 4885837992 7328756988 9771675984 14657513976 29315027952