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987952806064 = 24741877245321
BaseRepresentation
bin11100110000001101001…
…00110111100010110000
310111110002010111120020001
432120012210313202300
5112141311404243224
62033505333155344
7131243251202440
oct16300644674260
93443063446201
10987952806064
11350a9666a874
1213b57b48bb54
137221841bc13
1435b62462120
151aa73cc2544
hexe6069378b0

987952806064 has 80 divisors (see below), whose sum is σ = 2243530529856. Its totient is φ = 412608614400.

The previous prime is 987952806041. The next prime is 987952806073. The reversal of 987952806064 is 460608259789.

It is a junction number, because it is equal to n+sod(n) for n = 987952805987 and 987952806005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3904524 + ... + 4149844.

Almost surely, 2987952806064 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 987952806064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121765264928).

987952806064 is an abundant number, since it is smaller than the sum of its proper divisors (1255577723792).

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

987952806064 is a wasteful number, since it uses less digits than its factorization.

987952806064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246254 (or 246248 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

The spelling of 987952806064 in words is "nine hundred eighty-seven billion, nine hundred fifty-two million, eight hundred six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 164 287 328 574 656 877 1148 1754 2296 3508 4592 6139 7016 12278 14032 24556 35957 49112 71914 98224 143828 245321 251699 287656 490642 503398 575312 981284 1006796 1717247 1962568 2013592 3434494 3925136 4027184 6868988 10058161 13737976 20116322 27475952 40232644 70407127 80465288 140814254 160930576 215146517 281628508 430293034 563257016 860586068 1126514032 1506025619 1721172136 3012051238 3442344272 6024102476 8821007197 12048204952 17642014394 24096409904 35284028788 61747050379 70568057576 123494100758 141136115152 246988201516 493976403032 987952806064