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50461500384 = 25321772714177
BaseRepresentation
bin101110111111101111…
…010110001111100000
311211020202012211010200
4232333233112033200
51311321121003014
635103125025200
73434324450631
oct567757261740
9154222184120
1050461500384
111a445224129
129943555200
1349b2565189
142629b43888
1514a5155a09
hexbbfbd63e0

50461500384 has 144 divisors (see below), whose sum is σ = 152160791328. Its totient is φ = 15808167936.

The previous prime is 50461500361. The next prime is 50461500389. The reversal of 50461500384 is 48300516405.

It is a happy number.

50461500384 is a `hidden beast` number, since 5 + 0 + 4 + 615 + 0 + 0 + 38 + 4 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50461500389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3552304 + ... + 3566480.

It is an arithmetic number, because the mean of its divisors is an integer number (1056672162).

Almost surely, 250461500384 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 50461500384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76080395664).

50461500384 is an abundant number, since it is smaller than the sum of its proper divisors (101699290944).

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

50461500384 is a wasteful number, since it uses less digits than its factorization.

50461500384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14937 (or 14926 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 50461500384 in words is "fifty billion, four hundred sixty-one million, five hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 727 816 1224 1454 1632 2181 2448 2908 4362 4896 5816 6543 8724 11632 12359 13086 14177 17448 23264 24718 26172 28354 34896 37077 42531 49436 52344 56708 69792 74154 85062 98872 104688 111231 113416 127593 148308 170124 197744 209376 222462 226832 241009 255186 296616 340248 395488 444924 453664 482018 510372 593232 680496 723027 889848 964036 1020744 1186464 1360992 1446054 1779696 1928072 2041488 2169081 2892108 3559392 3856144 4082976 4338162 5784216 7712288 8676324 10306679 11568432 17352648 20613358 23136864 30920037 34705296 41226716 61840074 69410592 82453432 92760111 123680148 164906864 175213543 185520222 247360296 329813728 350427086 371040444 494720592 525640629 700854172 742080888 989441184 1051281258 1401708344 1484161776 1576921887 2102562516 2803416688 2968323552 3153843774 4205125032 5606833376 6307687548 8410250064 12615375096 16820500128 25230750192 50461500384