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29937880192 = 2711175323599
BaseRepresentation
bin11011111000011011…
…111100110010000000
32212021102101220000111
4123320123330302000
5442303044131232
621430412401104
72106613532353
oct337033746200
985242356014
1029937880192
1111773175550
125976176194
132a9155530c
1416400b829a
15ba3458047
hex6f86fcc80

29937880192 has 128 divisors (see below), whose sum is σ = 70193952000. Its totient is φ = 12565463040.

The previous prime is 29937880177. The next prime is 29937880199. The reversal of 29937880192 is 29108873992.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (29937880199) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256809 + ... + 1280407.

It is an arithmetic number, because the mean of its divisors is an integer number (548390250).

Almost surely, 229937880192 is an apocalyptic number.

29937880192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29937880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35096976000).

29937880192 is an abundant number, since it is smaller than the sum of its proper divisors (40256071808).

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

29937880192 is a wasteful number, since it uses less digits than its factorization.

29937880192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23694 (or 23682 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 29937880192 in words is "twenty-nine billion, nine hundred thirty-seven million, eight hundred eighty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 53 64 68 88 106 128 136 176 187 212 272 352 374 424 544 583 704 748 848 901 1088 1166 1408 1496 1696 1802 2176 2332 2992 3392 3604 4664 5984 6784 7208 9328 9911 11968 14416 18656 19822 23599 23936 28832 37312 39644 47198 57664 74624 79288 94396 115328 158576 188792 259589 317152 377584 401183 519178 634304 755168 802366 1038356 1250747 1268608 1510336 1604732 2076712 2501494 3020672 3209464 4153424 4413013 5002988 6418928 8306848 8826026 10005976 12837856 13758217 16613696 17652052 20011952 21262699 25675712 27516434 33227392 35304104 40023904 42525398 51351424 55032868 70608208 80047808 85050796 110065736 141216416 160095616 170101592 220131472 233889689 282432832 340203184 440262944 467779378 564865664 680406368 880525888 935558756 1360812736 1761051776 1871117512 2721625472 3742235024 7484470048 14968940096 29937880192