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50084593152 = 2931119315359
BaseRepresentation
bin101110101001010001…
…100011111000000000
311210021110222221121120
4232221101203320000
51310033123440102
635001502352240
73422100006006
oct565121437000
9153243887546
1050084593152
111a2714a1150
12985928b680
13495244a949
1425d1a70a76
1514820046bc
hexba9463e00

50084593152 has 160 divisors (see below), whose sum is σ = 146322063360. Its totient is φ = 15097528320.

The previous prime is 50084593151. The next prime is 50084593157. The reversal of 50084593152 is 25139548005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50084593151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3253249 + ... + 3268607.

It is an arithmetic number, because the mean of its divisors is an integer number (914512896).

Almost surely, 250084593152 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 50084593152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73161031680).

50084593152 is an abundant number, since it is smaller than the sum of its proper divisors (96237470208).

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

50084593152 is a wasteful number, since it uses less digits than its factorization.

50084593152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15584 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 50084593152 in words is "fifty billion, eighty-four million, five hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 193 256 264 352 384 386 512 528 579 704 768 772 1056 1158 1408 1536 1544 2112 2123 2316 2816 3088 4224 4246 4632 5632 6176 6369 8448 8492 9264 12352 12738 15359 16896 16984 18528 24704 25476 30718 33968 37056 46077 49408 50952 61436 67936 74112 92154 98816 101904 122872 135872 148224 168949 184308 203808 245744 271744 296448 337898 368616 407616 491488 506847 543488 675796 737232 815232 982976 1013694 1086976 1351592 1474464 1630464 1965952 2027388 2703184 2948928 2964287 3260928 3931904 4054776 5406368 5897856 5928574 7863808 8109552 8892861 10812736 11795712 11857148 16219104 17785722 21625472 23591424 23714296 32438208 32607157 35571444 43250944 47428592 64876416 65214314 71142888 86501888 94857184 97821471 129752832 130428628 142285776 189714368 195642942 259505664 260857256 284571552 379428736 391285884 521714512 569143104 758857472 782571768 1043429024 1138286208 1517714944 1565143536 2086858048 2276572416 3130287072 4173716096 4553144832 6260574144 8347432192 12521148288 16694864384 25042296576 50084593152