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50144632160 = 2557219732467
BaseRepresentation
bin101110101100110110…
…100101110101100000
311210102122222020122112
4232230312211311200
51310144011212120
635011445254452
73423426224600
oct565466456540
9153378866575
1050144632160
111a2a2379367
129875404428
134961a0c59c
1425d9a1cc00
151487413bc5
hexbacda5d60

50144632160 has 144 divisors (see below), whose sum is σ = 138511994544. Its totient is φ = 17104647168.

The previous prime is 50144632157. The next prime is 50144632183. The reversal of 50144632160 is 6123644105.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1528247 + ... + 1560713.

It is an arithmetic number, because the mean of its divisors is an integer number (961888851).

Almost surely, 250144632160 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 50144632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69255997272).

50144632160 is an abundant number, since it is smaller than the sum of its proper divisors (88367362384).

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

50144632160 is a wasteful number, since it uses less digits than its factorization.

50144632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32693 (or 32678 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 50144632160 in words is "fifty billion, one hundred forty-four million, six hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 197 224 245 280 392 394 490 560 784 788 980 985 1120 1379 1568 1576 1960 1970 2758 3152 3920 3940 5516 6304 6895 7840 7880 9653 11032 13790 15760 19306 22064 27580 31520 32467 38612 44128 48265 55160 64934 77224 96530 110320 129868 154448 162335 193060 220640 227269 259736 308896 324670 386120 454538 519472 649340 772240 909076 1038944 1136345 1298680 1544480 1590883 1818152 2272690 2597360 3181766 3636304 4545380 5194720 6363532 6395999 7272608 7954415 9090760 12727064 12791998 15908830 18181520 25454128 25583996 31817660 31979995 36363040 44771993 50908256 51167992 63635320 63959990 89543986 102335984 127270640 127919980 179087972 204671968 223859965 254541280 255839960 313403951 358175944 447719930 511679920 626807902 716351888 895439860 1023359840 1253615804 1432703776 1567019755 1790879720 2507231608 3134039510 3581759440 5014463216 6268079020 7163518880 10028926432 12536158040 25072316080 50144632160