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29916534528 = 2832127102241
BaseRepresentation
bin11011110111001010…
…100001011100000000
32212012221020102021100
4123313022201130000
5442232113101103
621424331054400
72106234230166
oct336712413400
985187212240
1029916534528
1111762116201
12596aba1400
132a89cc054a
14163b31d236
15ba163d5a3
hex6f72a1700

29916534528 has 108 divisors (see below), whose sum is σ = 86936781568. Its totient is φ = 9893560320.

The previous prime is 29916534521. The next prime is 29916534551. The reversal of 29916534528 is 82543561992.

29916534528 is a `hidden beast` number, since 2 + 99 + 16 + 534 + 5 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29916534521) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241488 + ... + 343728.

Almost surely, 229916534528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29916534528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43468390784).

29916534528 is an abundant number, since it is smaller than the sum of its proper divisors (57020247040).

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

29916534528 is a wasteful number, since it uses less digits than its factorization.

29916534528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102390 (or 102373 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 29916534528 in words is "twenty-nine billion, nine hundred sixteen million, five hundred thirty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 576 762 768 1016 1143 1152 1524 2032 2286 2304 3048 4064 4572 6096 8128 9144 12192 16256 18288 24384 32512 36576 48768 73152 97536 102241 146304 204482 292608 306723 408964 613446 817928 920169 1226892 1635856 1840338 2453784 3271712 3680676 4907568 6543424 7361352 9815136 12984607 13086848 14722704 19630272 25969214 26173696 29445408 38953821 39260544 51938428 58890816 77907642 78521088 103876856 116861463 117781632 155815284 207753712 233722926 235563264 311630568 415507424 467445852 623261136 831014848 934891704 1246522272 1662029696 1869783408 2493044544 3324059392 3739566816 4986089088 7479133632 9972178176 14958267264 29916534528