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51228799644 = 22311312431937
BaseRepresentation
bin101111101101011110…
…010111001010011100
311220020020000122211210
4233231132113022130
51314404033042034
635311214544420
73462332420001
oct575536271234
9156206018753
1051228799644
111a7a935a450
129b18508110
134aa55089c9
14269d9d98a8
1514ec6bd8e9
hexbed79729c

51228799644 has 144 divisors (see below), whose sum is σ = 135199507968. Its totient is φ = 14972256000.

The previous prime is 51228799621. The next prime is 51228799649. The reversal of 51228799644 is 44699782215.

It is a super-3 number, since 3×512287996443 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51228799649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54672744 + ... + 54673680.

It is an arithmetic number, because the mean of its divisors is an integer number (938885472).

Almost surely, 251228799644 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 51228799644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67599753984).

51228799644 is an abundant number, since it is smaller than the sum of its proper divisors (83970708324).

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

51228799644 is a wasteful number, since it uses less digits than its factorization.

51228799644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1415 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 57.

The spelling of 51228799644 in words is "fifty-one billion, two hundred twenty-eight million, seven hundred ninety-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 431 682 862 937 961 1023 1293 1364 1724 1874 1922 2046 2586 2811 2883 3748 3844 4092 4741 5172 5622 5766 9482 10307 10571 11244 11532 13361 14223 18964 20614 21142 26722 28446 29047 30921 31713 40083 41228 42284 53444 56892 58094 61842 63426 80166 87141 116188 123684 126852 146971 160332 174282 293942 319517 348564 403847 414191 440913 587884 639034 807694 828382 881826 900457 958551 1211541 1242573 1278068 1615388 1656764 1763652 1800914 1917102 2423082 2485146 2701371 3601828 3834204 4442317 4556101 4846164 4970292 5402742 8884634 9112202 9905027 10805484 12519257 13326951 13668303 17769268 18224404 19810054 25038514 26653902 27336606 29715081 37557771 39620108 50077028 53307804 54673212 59430162 75115542 118860324 137711827 150231084 275423654 388096967 413135481 550847308 776193934 826270962 1164290901 1552387868 1652541924 2328581802 4269066637 4657163604 8538133274 12807199911 17076266548 25614399822 51228799644