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50076672480 = 2532546375109
BaseRepresentation
bin101110101000110011…
…010110000111100000
311210020221002112111100
4232220303112013200
51310024112004410
635001020514400
73421642456452
oct565063260740
9153227075440
1050076672480
111a267a8123a
1298566aba00
134950906663
1425d09ac2d2
15148148c8c0
hexba8cd61e0

50076672480 has 144 divisors (see below), whose sum is σ = 171258010560. Its totient is φ = 13324760064.

The previous prime is 50076672463. The next prime is 50076672487. The reversal of 50076672480 is 8427667005.

50076672480 is a `hidden beast` number, since 500 + 7 + 6 + 67 + 2 + 4 + 80 = 666.

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

It is a super-3 number, since 3×500766724803 (a number of 33 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50076672487) 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 23 ways as a sum of consecutive naturals, for example, 629166 + ... + 704274.

It is an arithmetic number, because the mean of its divisors is an integer number (1189291740).

Almost surely, 250076672480 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 50076672480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85629005280).

50076672480 is an abundant number, since it is smaller than the sum of its proper divisors (121181338080).

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

50076672480 is a wasteful number, since it uses less digits than its factorization.

50076672480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75593 (or 75582 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 50076672480 in words is "fifty billion, seventy-six million, six hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 463 480 720 926 1389 1440 1852 2315 2778 3704 4167 4630 5556 6945 7408 8334 9260 11112 13890 14816 16668 18520 20835 22224 27780 33336 37040 41670 44448 55560 66672 74080 75109 83340 111120 133344 150218 166680 222240 225327 300436 333360 375545 450654 600872 666720 675981 751090 901308 1126635 1201744 1351962 1502180 1802616 2253270 2403488 2703924 3004360 3379905 3605232 4506540 5407848 6008720 6759810 7210464 9013080 10815696 12017440 13519620 18026160 21631392 27039240 34775467 36052320 54078480 69550934 104326401 108156960 139101868 173877335 208652802 278203736 312979203 347754670 417305604 521632005 556407472 625958406 695509340 834611208 1043264010 1112814944 1251916812 1391018680 1564896015 1669222416 2086528020 2503833624 2782037360 3129792030 3338444832 4173056040 5007667248 5564074720 6259584060 8346112080 10015334496 12519168120 16692224160 25038336240 50076672480