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29918779392 = 211329167917
BaseRepresentation
bin11011110111010011…
…000101100000000000
32212020002110110122110
4123313103011200000
5442233201420032
621424451135320
72106262300035
oct336723054000
985202413573
1029918779392
1111763409867
12596b8a4540
132a8a5c8278
14163b74538c
15ba19337cc
hex6f74c5800

29918779392 has 96 divisors (see below), whose sum is σ = 82514905200. Its totient is φ = 9628975104.

The previous prime is 29918779391. The next prime is 29918779403. The reversal of 29918779392 is 29397781992.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29918779391) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94218 + ... + 262134.

Almost surely, 229918779392 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 29918779392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41257452600).

29918779392 is an abundant number, since it is smaller than the sum of its proper divisors (52596125808).

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

29918779392 is a wasteful number, since it uses less digits than its factorization.

29918779392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167971 (or 167951 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 66.

The spelling of 29918779392 in words is "twenty-nine billion, nine hundred eighteen million, seven hundred seventy-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 5568 6144 7424 11136 14848 22272 29696 44544 59392 89088 167917 178176 335834 503751 671668 1007502 1343336 2015004 2686672 4030008 4869593 5373344 8060016 9739186 10746688 14608779 16120032 19478372 21493376 29217558 32240064 38956744 42986752 58435116 64480128 77913488 85973504 116870232 128960256 155826976 171947008 233740464 257920512 311653952 343894016 467480928 515841024 623307904 934961856 1031682048 1246615808 1869923712 2493231616 3739847424 4986463232 7479694848 9972926464 14959389696 29918779392