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49506130272 = 2534118776701
BaseRepresentation
bin101110000110110010…
…111001100101100000
311201210011111222201110
4232012302321211200
51302342032132042
634424240103320
73401544110214
oct560662714540
9151704458643
1049506130272
1119aa4a13455
129717604b40
13488c653011
142578cd2944
15144b33d09c
hexb86cb9960

49506130272 has 96 divisors (see below), whose sum is σ = 133213991904. Its totient is φ = 16088576000.

The previous prime is 49506130243. The next prime is 49506130273. The reversal of 49506130272 is 27203160594.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×495061302723 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 49506130272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49506130273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7384522 + ... + 7391222.

It is an arithmetic number, because the mean of its divisors is an integer number (1387645749).

Almost surely, 249506130272 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 49506130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66606995952).

49506130272 is an abundant number, since it is smaller than the sum of its proper divisors (83707861632).

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

49506130272 is a wasteful number, since it uses less digits than its factorization.

49506130272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8632 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 49506130272 in words is "forty-nine billion, five hundred six million, one hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1877 1968 3754 3936 5631 6701 7508 11262 13402 15016 20103 22524 26804 30032 40206 45048 53608 60064 76957 80412 90096 107216 153914 160824 180192 214432 230871 274741 307828 321648 461742 549482 615656 643296 824223 923484 1098964 1231312 1648446 1846968 2197928 2462624 3296892 3693936 4395856 6593784 7387872 8791712 12577777 13187568 25155554 26375136 37733331 50311108 75466662 100622216 150933324 201244432 301866648 402488864 515688857 603733296 1031377714 1207466592 1547066571 2062755428 3094133142 4125510856 6188266284 8251021712 12376532568 16502043424 24753065136 49506130272