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50930474976 = 253510960089
BaseRepresentation
bin101111011011101100…
…010101111111100000
311212110102200012100000
4233123230111333200
51313301200144401
635221440500000
73452050615533
oct573354257740
9155412605300
1050930474976
111a665a1a737
129a5461a600
134a58776634
142672140a1a
1514d13e1186
hexbdbb15fe0

50930474976 has 144 divisors (see below), whose sum is σ = 151578226800. Its totient is φ = 16820794368.

The previous prime is 50930474953. The next prime is 50930474977. The reversal of 50930474976 is 67947403905.

It is a happy number.

50930474976 is a `hidden beast` number, since 50 + 9 + 30 + 474 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-4 number, since 4×509304749764 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50930474977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817540 + ... + 877628.

It is an arithmetic number, because the mean of its divisors is an integer number (1052626575).

Almost surely, 250930474976 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 50930474976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75789113400).

50930474976 is an abundant number, since it is smaller than the sum of its proper divisors (100647751824).

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

50930474976 is a wasteful number, since it uses less digits than its factorization.

50930474976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60223 (or 60203 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 50930474976 in words is "fifty billion, nine hundred thirty million, four hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 109 144 162 216 218 243 288 324 327 432 436 486 648 654 864 872 972 981 1296 1308 1744 1944 1962 2592 2616 2943 3488 3888 3924 5232 5886 7776 7848 8829 10464 11772 15696 17658 23544 26487 31392 35316 47088 52974 60089 70632 94176 105948 120178 141264 180267 211896 240356 282528 360534 423792 480712 540801 721068 847584 961424 1081602 1442136 1622403 1922848 2163204 2884272 3244806 4326408 4867209 5768544 6489612 6549701 8652816 9734418 12979224 13099402 14601627 17305632 19468836 19649103 25958448 26198804 29203254 38937672 39298206 51916896 52397608 58406508 58947309 77875344 78596412 104795216 116813016 117894618 155750688 157192824 176841927 209590432 233626032 235789236 314385648 353683854 467252064 471578472 530525781 628771296 707367708 943156944 1061051562 1414735416 1591577343 1886313888 2122103124 2829470832 3183154686 4244206248 5658941664 6366309372 8488412496 12732618744 16976824992 25465237488 50930474976