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51445307310552 = 23323727117123313
BaseRepresentation
bin10111011001010000010110…
…10001001000000111011000
320202011010022220211220111200
423230220023101020013120
523220334442132414202
6301225351540554200
713556541450024441
oct1354501321100730
9222133286756450
1051445307310552
1115434917889391
12592a5413b2960
13229236bac843c
14c9bd751da2c8
155e33256b2e1c
hex2eca0b4481d8

51445307310552 has 96 divisors (see below), whose sum is σ = 143149548278880. Its totient is φ = 16678807649280.

The previous prime is 51445307310461. The next prime is 51445307310557. The reversal of 51445307310552 is 25501370354415.

51445307310552 is a `hidden beast` number, since 5 + 1 + 4 + 4 + 530 + 7 + 3 + 105 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 51445307310498 and 51445307310507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51445307310557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3660448 + ... + 10783760.

It is an arithmetic number, because the mean of its divisors is an integer number (1491141127905).

Almost surely, 251445307310552 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 51445307310552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71574774139440).

51445307310552 is an abundant number, since it is smaller than the sum of its proper divisors (91704240968328).

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

51445307310552 is a wasteful number, since it uses less digits than its factorization.

51445307310552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7126073 (or 7126066 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 45.

Adding to 51445307310552 its reverse (25501370354415), we get a palindrome (76946677664967).

The spelling of 51445307310552 in words is "fifty-one trillion, four hundred forty-five billion, three hundred seven million, three hundred ten thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 2711 5422 8133 10844 16266 21688 24399 32532 48798 65064 97596 100307 195192 200614 300921 401228 601842 802456 902763 1203684 1805526 2407368 3611052 7123313 7222104 14246626 21369939 28493252 42739878 56986504 64109817 85479756 128219634 170959512 256439268 263562581 512878536 527125162 790687743 1054250324 1581375486 2108500648 2372063229 3162750972 4744126458 6325501944 9488252916 18976505832 19311301543 38622603086 57933904629 77245206172 115867809258 154490412344 173801713887 231735618516 347603427774 463471237032 695206855548 714518157091 1390413711096 1429036314182 2143554471273 2858072628364 4287108942546 5716145256728 6430663413819 8574217885092 12861326827638 17148435770184 25722653655276 51445307310552