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51809000253 = 31943611971759
BaseRepresentation
bin110000010000000011…
…101001101100111101
311221201122202220110020
4300100003221230331
51322101101002003
635444542402353
73512606143653
oct602003515475
9157648686406
1051809000253
111aa7691478a
12a05a8903b9
134b6879158a
142716aaadd3
1515335c9d53
hexc100e9b3d

51809000253 has 64 divisors (see below), whose sum is σ = 76052275200. Its totient is φ = 31259208960.

The previous prime is 51809000251. The next prime is 51809000293. The reversal of 51809000253 is 35200090815.

51809000253 is a nontrivial binomial coefficient, being equal to C(321898, 2).

It is not a de Polignac number, because 51809000253 - 21 = 51809000251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51809000251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29452788 + ... + 29454546.

It is an arithmetic number, because the mean of its divisors is an integer number (1188316800).

Almost surely, 251809000253 is an apocalyptic number.

51809000253 is the 321897-th triangular number and also the 160949-th hexagonal number.

It is an amenable number.

51809000253 is a deficient number, since it is larger than the sum of its proper divisors (24243274947).

51809000253 is a wasteful number, since it uses less digits than its factorization.

51809000253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 51809000253 in words is "fifty-one billion, eight hundred nine million, two hundred fifty-three", and thus it is an aban number.

Divisors: 1 3 19 43 57 61 129 183 197 591 817 1159 1759 2451 2623 3477 3743 5277 7869 8471 11229 12017 25413 33421 36051 49837 75637 100263 107299 149511 160949 226911 228323 321897 346523 482847 516731 684969 1039569 1437103 1550193 2038681 4311309 4613857 6116043 6583937 9817889 13841571 14900489 19751811 21137903 29453667 44701467 63413709 87663283 262989849 283109291 401620157 849327873 908929829 1204860471 2726789487 17269666751 51809000253