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5060461000 = 235376591097
BaseRepresentation
bin1001011011010000…
…01000000111001000
3111001200011001110111
410231220020013020
540330434223000
62154051124104
7236255131420
oct45550100710
914050131414
105060461000
112167553281
12b928a3634
1362853a62a
1436011d480
151e93eacba
hex12da081c8

5060461000 has 128 divisors (see below), whose sum is σ = 13566009600. Its totient is φ = 1730803200.

The previous prime is 5060460983. The next prime is 5060461013. The reversal of 5060461000 is 1640605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4612452 + ... + 4613548.

It is an arithmetic number, because the mean of its divisors is an integer number (105984450).

Almost surely, 25060461000 is an apocalyptic number.

5060461000 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 5060461000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783004800).

5060461000 is an abundant number, since it is smaller than the sum of its proper divisors (8505548600).

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

5060461000 is a wasteful number, since it uses less digits than its factorization.

5060461000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 5060461000 is about 71136.9172792861. The cubic root of 5060461000 is about 1716.8408072105.

The spelling of 5060461000 in words is "five billion, sixty million, four hundred sixty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 659 700 875 1000 1097 1318 1400 1750 2194 2636 3295 3500 4388 4613 5272 5485 6590 7000 7679 8776 9226 10970 13180 15358 16475 18452 21940 23065 26360 27425 30716 32950 36904 38395 43880 46130 54850 61432 65900 76790 82375 92260 109700 115325 131800 137125 153580 164750 184520 191975 219400 230650 274250 307160 329500 383950 461300 548500 576625 659000 722923 767900 922600 959875 1097000 1153250 1445846 1535800 1919750 2306500 2891692 3614615 3839500 4613000 5060461 5783384 7229230 7679000 10120922 14458460 18073075 20241844 25302305 28916920 36146150 40483688 50604610 72292300 90365375 101209220 126511525 144584600 180730750 202418440 253023050 361461500 506046100 632557625 722923000 1012092200 1265115250 2530230500 5060461000