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51031215400 = 23521117280263
BaseRepresentation
bin101111100001101100…
…101000110100101000
311212201110020100012211
4233201230220310220
51314002442343100
635235440014504
73454413113434
oct574154506450
9155643210184
1051031215400
111a707877490
129a82301434
134a735b9159
1426816859c4
1514da1901ba
hexbe1b28d28

51031215400 has 144 divisors (see below), whose sum is σ = 137497047840. Its totient is φ = 17465011200.

The previous prime is 51031215371. The next prime is 51031215437. The reversal of 51031215400 is 451213015.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 595669 + ... + 675931.

It is an arithmetic number, because the mean of its divisors is an integer number (954840610).

Almost surely, 251031215400 is an apocalyptic number.

51031215400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51031215400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68748523920).

51031215400 is an abundant number, since it is smaller than the sum of its proper divisors (86465832440).

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

51031215400 is a wasteful number, since it uses less digits than its factorization.

51031215400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80324 (or 80298 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 51031215400 its reverse (451213015), we get a palindrome (51482428415).

The spelling of 51031215400 in words is "fifty-one billion, thirty-one million, two hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 17 20 22 25 34 40 44 50 55 68 85 88 100 110 136 170 187 200 220 275 289 340 374 425 440 550 578 680 748 850 935 1100 1156 1445 1496 1700 1870 2200 2312 2890 3179 3400 3740 4675 5780 6358 7225 7480 9350 11560 12716 14450 15895 18700 25432 28900 31790 37400 57800 63580 79475 80263 127160 158950 160526 317900 321052 401315 635800 642104 802630 882893 1364471 1605260 1765786 2006575 2728942 3210520 3531572 4013150 4414465 5457884 6822355 7063144 8026300 8828930 10915768 13644710 15009181 16052600 17657860 22072325 23196007 27289420 30018362 34111775 35315720 44144650 46392014 54578840 60036724 68223550 75045905 88289300 92784028 115980035 120073448 136447100 150091810 176578600 185568056 231960070 255156077 272894200 300183620 375229525 463920140 510312154 579900175 600367240 750459050 927840280 1020624308 1159800350 1275780385 1500918100 2041248616 2319600700 2551560770 3001836200 4639201400 5103121540 6378901925 10206243080 12757803850 25515607700 51031215400