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48700027120 = 2452933236317
BaseRepresentation
bin101101010110101111…
…110111000011110000
311122200222200201002011
4231112233313003300
51244214201331440
634212242332304
73342555254233
oct552657670360
9148628621064
1048700027120
11197209941a8
12953165a094
1347916441c4
1424ddc1941a
1514006ac9ea
hexb56bf70f0

48700027120 has 80 divisors (see below), whose sum is σ = 117185758560. Its totient is φ = 18799649792.

The previous prime is 48700027069. The next prime is 48700027121. The reversal of 48700027120 is 2172000784.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48700027121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7706202 + ... + 7712518.

It is an arithmetic number, because the mean of its divisors is an integer number (1464821982).

Almost surely, 248700027120 is an apocalyptic number.

48700027120 is a gapful number since it is divisible by the number (40) 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 48700027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58592879280).

48700027120 is an abundant number, since it is smaller than the sum of its proper divisors (68485731440).

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

48700027120 is a wasteful number, since it uses less digits than its factorization.

48700027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9682 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 31.

The spelling of 48700027120 in words is "forty-eight billion, seven hundred million, twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 3323 6317 6646 12634 13292 16615 25268 26584 31585 33230 50536 53168 63170 66460 96367 101072 126340 132920 183193 192734 252680 265840 366386 385468 481835 505360 732772 770936 915965 963670 1465544 1541872 1831930 1927340 2931088 3663860 3854680 7327720 7709360 14655440 20991391 41982782 83965564 104956955 167931128 209913910 335862256 419827820 608750339 839655640 1217500678 1679311280 2435001356 3043751695 4870002712 6087503390 9740005424 12175006780 24350013560 48700027120