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56510016150 = 23527296918127
BaseRepresentation
bin110100101000010000…
…100110101010010110
312101212021120020221010
4310220100212222112
51411213031004100
641543233433050
74040241132450
oct645020465226
9171767506833
1056510016150
1121a69481595
12ab5110b786
1354376b98a3
142a411812d0
15170b173750
hexd28426a96

56510016150 has 96 divisors (see below), whose sum is σ = 160228316160. Its totient is φ = 12911512320.

The previous prime is 56510016137. The next prime is 56510016151. The reversal of 56510016150 is 5161001565.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56510016151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3108387 + ... + 3126513.

It is an arithmetic number, because the mean of its divisors is an integer number (1669044960).

Almost surely, 256510016150 is an apocalyptic number.

56510016150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56510016150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80114158080).

56510016150 is an abundant number, since it is smaller than the sum of its proper divisors (103718300010).

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

56510016150 is a wasteful number, since it uses less digits than its factorization.

56510016150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21118 (or 21113 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 56510016150 in words is "fifty-six billion, five hundred ten million, sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 2969 5938 8907 14845 17814 18127 20783 29690 36254 41566 44535 54381 62349 74225 89070 90635 103915 108762 124698 126889 148450 181270 207830 222675 253778 271905 311745 380667 445350 453175 519575 543810 623490 634445 761334 906350 1039150 1268890 1359525 1558725 1903335 2719050 3117450 3172225 3806670 6344450 9516675 19033350 53819063 107638126 161457189 269095315 322914378 376733441 538190630 753466882 807285945 1130200323 1345476575 1614571890 1883667205 2260400646 2690953150 3767334410 4036429725 5651001615 8072859450 9418336025 11302003230 18836672050 28255008075 56510016150