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49506120504 = 23324328356503
BaseRepresentation
bin101110000110110010…
…110111001100111000
311201210011111111022200
4232012302313030320
51302342031324004
634424235550200
73401544036561
oct560662671470
9151704444280
1049506120504
1119aa4a07085
1297175bb360
13488c64b739
142578ccd168
15144b33a239
hexb86cb7338

49506120504 has 96 divisors (see below), whose sum is σ = 137684426880. Its totient is φ = 16061032512.

The previous prime is 49506120479. The next prime is 49506120523. The reversal of 49506120504 is 40502160594.

49506120504 is a `hidden beast` number, since 4 + 95 + 0 + 61 + 2 + 0 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 847917 + ... + 904419.

It is an arithmetic number, because the mean of its divisors is an integer number (1434212780).

Almost surely, 249506120504 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 49506120504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68842213440).

49506120504 is an abundant number, since it is smaller than the sum of its proper divisors (88178306376).

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

49506120504 is a wasteful number, since it uses less digits than its factorization.

49506120504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56841 (or 56834 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 49506120504 in words is "forty-nine billion, five hundred six million, one hundred twenty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 283 344 387 516 566 774 849 1032 1132 1548 1698 2264 2547 3096 3396 5094 6792 10188 12169 20376 24338 36507 48676 56503 73014 97352 109521 113006 146028 169509 219042 226012 292056 339018 438084 452024 508527 678036 876168 1017054 1356072 2034108 2429629 4068216 4859258 7288887 9718516 14577774 15990349 19437032 21866661 29155548 31980698 43733322 47971047 58311096 63961396 87466644 95942094 127922792 143913141 174933288 191884188 287826282 383768376 575652564 687585007 1151305128 1375170014 2062755021 2750340028 4125510042 5500680056 6188265063 8251020084 12376530126 16502040168 24753060252 49506120504