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29687106064 = 2471122190607
BaseRepresentation
bin11011101001011111…
…010100101000010000
32211121221112020120211
4123221133110220100
5441244344343224
621345453413504
72100450144430
oct335137245020
984557466524
1029687106064
1111654663200
12590619a294
132a51601465
141618a7a2c0
15b8b41e894
hex6e97d4a10

29687106064 has 60 divisors (see below), whose sum is σ = 72255014272. Its totient is φ = 11566399680.

The previous prime is 29687106061. The next prime is 29687106067. The reversal of 29687106064 is 46060178692.

It is an interprime number because it is at equal distance from previous prime (29687106061) and next prime (29687106067).

It is a junction number, because it is equal to n+sod(n) for n = 29687105999 and 29687106017.

It is not an unprimeable number, because it can be changed into a prime (29687106061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1081752 + ... + 1108855.

Almost surely, 229687106064 is an apocalyptic number.

It is an amenable number.

29687106064 is an abundant number, since it is smaller than the sum of its proper divisors (42567908208).

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

29687106064 is a wasteful number, since it uses less digits than its factorization.

29687106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190644 (or 2190627 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 29687106064 in words is "twenty-nine billion, six hundred eighty-seven million, one hundred six thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 3388 6776 13552 2190607 4381214 8762428 15334249 17524856 24096677 30668498 35049712 48193354 61336996 96386708 122673992 168676739 192773416 245347984 265063447 337353478 385546832 530126894 674706956 1060253788 1349413912 1855444129 2120507576 2698827824 3710888258 4241015152 7421776516 14843553032 29687106064