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51417083206452 = 2232925998505569
BaseRepresentation
bin10111011000011011110001…
…11110101101101100110100
320202001102110221012212022210
423230031320332231230310
523214404141300101302
6301204403144253420
713554522153061605
oct1354157076555464
9222042427185283
1051417083206452
1115423954036217
125924b85171270
13228c7c1633c22
14c9a858991dac
155e272293066c
hex2ec378fadb34

51417083206452 has 72 divisors (see below), whose sum is σ = 124460304696000. Its totient is φ = 16520398748672.

The previous prime is 51417083206439. The next prime is 51417083206453. The reversal of 51417083206452 is 25460238071415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51417083206453) 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, 1792324 + ... + 10297892.

It is an arithmetic number, because the mean of its divisors is an integer number (1728615343000).

Almost surely, 251417083206452 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 51417083206452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62230152348000).

51417083206452 is an abundant number, since it is smaller than the sum of its proper divisors (73043221489548).

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

51417083206452 is a wasteful number, since it uses less digits than its factorization.

51417083206452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506233 (or 8506202 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 51417083206452 in words is "fifty-one trillion, four hundred seventeen billion, eighty-three million, two hundred six thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 599 841 1198 1682 1797 2396 2523 3364 3594 5046 7188 10092 17371 34742 52113 69484 104226 208452 503759 1007518 1511277 2015036 3022554 6045108 8505569 17011138 25516707 34022276 51033414 102066828 246661501 493323002 739984503 986646004 1479969006 2959938012 5094835831 7153183529 10189671662 14306367058 15284507493 20379343324 21459550587 28612734116 30569014986 42919101174 61138029972 85838202348 147750239099 295500478198 443250717297 591000956396 886501434594 1773002869188 4284756933871 8569513867742 12854270801613 17139027735484 25708541603226 51417083206452