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13936784950 = 2521125499941
BaseRepresentation
bin11001111101011001…
…00111011000110110
31022222021112000211101
430332230213120312
5212020304104300
610222533400314
71002236501044
oct147654473066
938867460741
1013936784950
115a01a518a0
12284b49909a
1314114a771a
14962d3d394
155687e7b6a
hex33eb27636

13936784950 has 48 divisors (see below), whose sum is σ = 28292943600. Its totient is φ = 5065424000.

The previous prime is 13936784929. The next prime is 13936784963. The reversal of 13936784950 is 5948763931.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a junction number, because it is equal to n+sod(n) for n = 13936784891 and 13936784900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1396980 + ... + 1406920.

It is an arithmetic number, because the mean of its divisors is an integer number (589436325).

Almost surely, 213936784950 is an apocalyptic number.

13936784950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13936784950 is an abundant number, since it is smaller than the sum of its proper divisors (14356158650).

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

13936784950 is a wasteful number, since it uses less digits than its factorization.

13936784950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12513 (or 12508 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 55.

It can be divided in two parts, 1393678 and 4950, that added together give a triangular number (1398628 = T1672).

The spelling of 13936784950 in words is "thirteen billion, nine hundred thirty-six million, seven hundred eighty-four thousand, nine hundred fifty".

Divisors: 1 2 5 10 11 22 25 50 55 110 275 550 2549 5098 9941 12745 19882 25490 28039 49705 56078 63725 99410 109351 127450 140195 218702 248525 280390 497050 546755 700975 1093510 1401950 2733775 5467550 25339609 50679218 126698045 253396090 278735699 557471398 633490225 1266980450 1393678495 2787356990 6968392475 13936784950