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48863102500 = 225444212
BaseRepresentation
bin101101100000011101…
…111100011000100100
311200010100112210110001
4231200131330120210
51300032423240000
634240345511044
73346605342532
oct554035743044
9150110483401
1048863102500
11197a4a47143
1295781a2484
1347b9370704
142517749152
15140eb7146a
hexb6077c624

48863102500 has 45 divisors (see below), whose sum is σ = 106878007621. Its totient is φ = 19540820000.

The previous prime is 48863102461. The next prime is 48863102539. The reversal of 48863102500 is 520136884.

It is a happy number.

The square root of 48863102500 is 221050.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (48863102461) and next prime (48863102539).

It can be written as a sum of positive squares in 7 ways, for example, as 20668662756 + 28194439744 = 143766^2 + 167912^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 48863102500.

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 14 ways as a sum of consecutive naturals, for example, 11050290 + ... + 11054710.

Almost surely, 248863102500 is an apocalyptic number.

48863102500 is the 221050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48863102500

48863102500 is an abundant number, since it is smaller than the sum of its proper divisors (58014905121).

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

48863102500 is an frugal number, since it uses more digits than its factorization.

48863102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8866 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 48863102500 in words is "forty-eight billion, eight hundred sixty-three million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 4421 8842 17684 22105 44210 88420 110525 221050 442100 552625 1105250 2210500 2763125 5526250 11052500 19545241 39090482 78180964 97726205 195452410 390904820 488631025 977262050 1954524100 2443155125 4886310250 9772620500 12215775625 24431551250 48863102500