Search a number
-
+
51876753720768 = 2632431208964753
BaseRepresentation
bin10111100101110011111110…
…11110100100010111000000
320210200100222011101102200100
423302321333132210113000
523244422042423031033
6302155503542522400
713632654214013634
oct1362717736442700
9223610864342610
1051876753720768
1115590898062159
12599a08ba36400
1322c3c593797b2
14cb4bc395adc4
155ee677b96513
hex2f2e7f7a45c0

51876753720768 has 84 divisors (see below), whose sum is σ = 149040349424928. Its totient is φ = 17252129925120.

The previous prime is 51876753720767. The next prime is 51876753720877. The reversal of 51876753720768 is 86702735767815.

51876753720768 is a `hidden beast` number, since 5 + 1 + 8 + 7 + 6 + 7 + 537 + 20 + 7 + 68 = 666.

It is a super-2 number, since 2×518767537207682 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 51876753720696 and 51876753720705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51876753720767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104234121 + ... + 104730632.

Almost surely, 251876753720768 is an apocalyptic number.

It is an amenable number.

51876753720768 is an abundant number, since it is smaller than the sum of its proper divisors (97163595704160).

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

51876753720768 is a wasteful number, since it uses less digits than its factorization.

51876753720768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208965202 (or 208965189 counting only the distinct ones).

The product of its (nonzero) digits is 829785600, while the sum is 72.

The spelling of 51876753720768 in words is "fifty-one trillion, eight hundred seventy-six billion, seven hundred fifty-three million, seven hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 431 576 862 1293 1724 2586 3448 3879 5172 6896 7758 10344 13792 15516 20688 27584 31032 41376 62064 82752 124128 248256 208964753 417929506 626894259 835859012 1253788518 1671718024 1880682777 2507577036 3343436048 3761365554 5015154072 6686872096 7522731108 10030308144 13373744192 15045462216 20060616288 30090924432 40121232576 60181848864 90063808543 120363697728 180127617086 270191425629 360255234172 540382851258 720510468344 810574276887 1080765702516 1441020936688 1621148553774 2161531405032 2882041873376 3242297107548 4323062810064 5764083746752 6484594215096 8646125620128 12969188430192 17292251240256 25938376860384 51876753720768