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51434425700 = 22527142951419
BaseRepresentation
bin101111111001101110…
…110000110101100100
311220202112221112202122
4233321232300311210
51320314203110300
635343442125112
73500410255610
oct577156606544
9156675845678
1051434425700
111a8a4435339
129b75350798
134b08cb2a28
1426bd044340
151510789c85
hexbf9bb0d64

51434425700 has 72 divisors (see below), whose sum is σ = 127649121600. Its totient is φ = 17621976960.

The previous prime is 51434425657. The next prime is 51434425709. The reversal of 51434425700 is 752443415.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (51434425709) 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, 974591 + ... + 1026009.

Almost surely, 251434425700 is an apocalyptic number.

51434425700 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 51434425700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63824560800).

51434425700 is an abundant number, since it is smaller than the sum of its proper divisors (76214695900).

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

51434425700 is a wasteful number, since it uses less digits than its factorization.

51434425700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52869 (or 52862 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The spelling of 51434425700 in words is "fifty-one billion, four hundred thirty-four million, four hundred twenty-five thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1429 2858 5716 7145 10003 14290 20006 28580 35725 40012 50015 51419 71450 100030 102838 142900 200060 205676 250075 257095 359933 500150 514190 719866 1000300 1028380 1285475 1439732 1799665 2570950 3599330 5141900 7198660 8998325 17996650 35993300 73477751 146955502 293911004 367388755 514344257 734777510 1028688514 1469555020 1836943775 2057377028 2571721285 3673887550 5143442570 7347775100 10286885140 12858606425 25717212850 51434425700