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552009386136 = 2331379148715061
BaseRepresentation
bin10000000100001100101…
…00101100100010011000
31221202211111001021110010
420002012110230202120
533021003400324021
61101331204521520
754611210235615
oct10020624544230
91852744037403
10552009386136
111a31189a904a
128ab969b02a0
13400922a0180
141ca0877350c
15e55bae1976
hex808652c898

552009386136 has 128 divisors (see below), whose sum is σ = 1506103603200. Its totient is φ = 167575150080.

The previous prime is 552009386111. The next prime is 552009386141. The reversal of 552009386136 is 631683900255.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36644046 + ... + 36659106.

It is an arithmetic number, because the mean of its divisors is an integer number (11766434400).

Almost surely, 2552009386136 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 552009386136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753051801600).

552009386136 is an abundant number, since it is smaller than the sum of its proper divisors (954094217064).

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

552009386136 is a wasteful number, since it uses less digits than its factorization.

552009386136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16649 (or 16645 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 552009386136 in words is "five hundred fifty-two billion, nine million, three hundred eighty-six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 237 312 316 474 632 948 1027 1487 1896 2054 2974 3081 4108 4461 5948 6162 8216 8922 11896 12324 15061 17844 19331 24648 30122 35688 38662 45183 57993 60244 77324 90366 115986 117473 120488 154648 180732 195793 231972 234946 352419 361464 391586 463944 469892 587379 704838 783172 939784 1174758 1189819 1409676 1527149 1566344 2349516 2379638 2819352 3054298 3569457 4581447 4699032 4759276 6108596 7138914 9162894 9518552 12217192 14277828 15467647 18325788 22395707 28555656 30935294 36651576 44791414 46402941 61870588 67187121 89582828 92805882 123741176 134374242 179165656 185611764 268748484 291144191 371223528 537496968 582288382 873432573 1164576764 1746865146 1769260853 2329153528 3493730292 3538521706 5307782559 6987460584 7077043412 10615565118 14154086824 21231130236 23000391089 42462260472 46000782178 69001173267 92001564356 138002346534 184003128712 276004693068 552009386136