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29496987216 = 243425498929
BaseRepresentation
bin11011011110001010…
…000100111001010000
32211010200210012120000
4123132022010321100
5440402212042331
621314542450000
72062651153164
oct333612047120
984120705500
1029496987216
111156730a094
125872593900
132a210c68b8
1415db70aca4
15b798b80e6
hex6de284e50

29496987216 has 100 divisors (see below), whose sum is σ = 85415896500. Its totient is φ = 9827371008.

The previous prime is 29496987203. The next prime is 29496987229. The reversal of 29496987216 is 61278969492.

It is an interprime number because it is at equal distance from previous prime (29496987203) and next prime (29496987229).

It can be written as a sum of positive squares in 2 ways, for example, as 13521038400 + 15975948816 = 116280^2 + 126396^2 .

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3299040 + ... + 3307968.

It is an arithmetic number, because the mean of its divisors is an integer number (854158965).

Almost surely, 229496987216 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 29496987216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42707948250).

29496987216 is an abundant number, since it is smaller than the sum of its proper divisors (55918909284).

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

29496987216 is a wasteful number, since it uses less digits than its factorization.

29496987216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498 (or 11483 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The spelling of 29496987216 in words is "twenty-nine billion, four hundred ninety-six million, nine hundred eighty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2549 5098 7647 8929 10196 15294 17858 20392 22941 26787 30588 35716 40784 45882 53574 61176 68823 71432 80361 91764 107148 122352 137646 142864 160722 183528 206469 214296 241083 275292 321444 367056 412938 428592 482166 550584 642888 723249 825876 964332 1101168 1285776 1446498 1651752 1928664 2892996 3303504 3857328 5785992 11571984 22760021 45520042 68280063 91040084 136560126 182080168 204840189 273120252 364160336 409680378 546240504 614520567 819360756 1092481008 1229041134 1638721512 1843561701 2458082268 3277443024 3687123402 4916164536 7374246804 9832329072 14748493608 29496987216