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48700027136 = 281512335407
BaseRepresentation
bin101101010110101111…
…110111000100000000
311122200222200201002202
4231112233313010000
51244214201332021
634212242332332
73342555254255
oct552657670400
9148628621082
1048700027136
1119720994212
12953165a0a8
134791644207
1424ddc1942c
1514006aca0b
hexb56bf7100

48700027136 has 72 divisors (see below), whose sum is σ = 98291741184. Its totient is φ = 24080486400.

The previous prime is 48700027121. The next prime is 48700027147. The reversal of 48700027136 is 63172000784.

48700027136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 48700027136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9004145 + ... + 9009551.

It is an arithmetic number, because the mean of its divisors is an integer number (1365163072).

Almost surely, 248700027136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48700027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49145870592).

48700027136 is an abundant number, since it is smaller than the sum of its proper divisors (49591714048).

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

48700027136 is a wasteful number, since it uses less digits than its factorization.

48700027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5807 (or 5793 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 38.

The spelling of 48700027136 in words is "forty-eight billion, seven hundred million, twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 151 233 256 302 466 604 932 1208 1864 2416 3728 4832 5407 7456 9664 10814 14912 19328 21628 29824 35183 38656 43256 59648 70366 86512 140732 173024 281464 346048 562928 692096 816457 1125856 1259831 1384192 1632914 2251712 2519662 3265828 4503424 5039324 6531656 9006848 10078648 13063312 20157296 26126624 40314592 52253248 80629184 104506496 161258368 190234481 209012992 322516736 380468962 760937924 1521875848 3043751696 6087503392 12175006784 24350013568 48700027136