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13750137750 = 235319195987
BaseRepresentation
bin11001100111001001…
…00111001110010110
31022111021022101000010
430303210213032112
5211130013402000
610152225101050
7664512146106
oct146344471626
938437271003
1013750137750
11591665a008
1227b8a87786
1313b19170ab
14946235206
15557229d50
hex333927396

13750137750 has 64 divisors (see below), whose sum is σ = 34500390912. Its totient is φ = 3647468000.

The previous prime is 13750137701. The next prime is 13750137757. The reversal of 13750137750 is 5773105731.

It is a junction number, because it is equal to n+sod(n) for n = 13750137699 and 13750137708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13750137757) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95257 + ... + 191243.

It is an arithmetic number, because the mean of its divisors is an integer number (539068608).

Almost surely, 213750137750 is an apocalyptic number.

13750137750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13750137750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250195456).

13750137750 is an abundant number, since it is smaller than the sum of its proper divisors (20750253162).

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

13750137750 is a wasteful number, since it uses less digits than its factorization.

13750137750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96198 (or 96188 counting only the distinct ones).

The product of its (nonzero) digits is 77175, while the sum is 39.

The spelling of 13750137750 in words is "thirteen billion, seven hundred fifty million, one hundred thirty-seven thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 191 250 375 382 573 750 955 1146 1910 2865 4775 5730 9550 14325 23875 28650 47750 71625 95987 143250 191974 287961 479935 575922 959870 1439805 2399675 2879610 4799350 7199025 11998375 14398050 18333517 23996750 35995125 36667034 55000551 71990250 91667585 110001102 183335170 275002755 458337925 550005510 916675850 1375013775 2291689625 2750027550 4583379250 6875068875 13750137750