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51088053200 = 24521748715427
BaseRepresentation
bin101111100101000101…
…011101001111010000
311212212102012000000112
4233211011131033100
51314112020200300
635245230140452
73456003200342
oct574505351720
9155772160015
1051088053200
111a736968578
129a99351728
134a822c99a2
14268903d292
1514e016ae35
hexbe515d3d0

51088053200 has 120 divisors (see below), whose sum is σ = 130234289472. Its totient is φ = 19192412160.

The previous prime is 51088053199. The next prime is 51088053221. The reversal of 51088053200 is 235088015.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 3303887 + ... + 3319313.

Almost surely, 251088053200 is an apocalyptic number.

51088053200 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 51088053200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65117144736).

51088053200 is an abundant number, since it is smaller than the sum of its proper divisors (79146236272).

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

51088053200 is a wasteful number, since it uses less digits than its factorization.

51088053200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15949 (or 15938 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 51088053200 in words is "fifty-one billion, eighty-eight million, fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 136 170 200 272 340 400 425 487 680 850 974 1360 1700 1948 2435 3400 3896 4870 6800 7792 8279 9740 12175 15427 16558 19480 24350 30854 33116 38960 41395 48700 61708 66232 77135 82790 97400 123416 132464 154270 165580 194800 206975 246832 262259 308540 331160 385675 413950 524518 617080 662320 771350 827900 1049036 1234160 1311295 1542700 1655800 2098072 2622590 3085400 3311600 4196144 5245180 6170800 6556475 7512949 10490360 13112950 15025898 20980720 26225900 30051796 37564745 52451800 60103592 75129490 104903600 120207184 127720133 150258980 187823725 255440266 300517960 375647450 510880532 601035920 638600665 751294900 1021761064 1277201330 1502589800 2043522128 2554402660 3005179600 3193003325 5108805320 6386006650 10217610640 12772013300 25544026600 51088053200