Search a number
-
+
48366007650 = 23252197377491
BaseRepresentation
bin101101000010110101…
…101011010101100010
311121211201011202111200
4231002311223111202
51243023144221100
634115151222030
73331361165442
oct550265532542
9147751152450
1048366007650
111956a394454
129459817916
13473a394a4c
1424ab70c122
1513d11cde00
hexb42d6b562

48366007650 has 144 divisors (see below), whose sum is σ = 138657985440. Its totient is φ = 12051244800.

The previous prime is 48366007621. The next prime is 48366007681. The reversal of 48366007650 is 5670066384.

48366007650 is a `hidden beast` number, since 4 + 8 + 36 + 600 + 7 + 6 + 5 + 0 = 666.

48366007650 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 48366007596 and 48366007605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 585405 + ... + 662895.

Almost surely, 248366007650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48366007650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69328992720).

48366007650 is an abundant number, since it is smaller than the sum of its proper divisors (90291977790).

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

48366007650 is a wasteful number, since it uses less digits than its factorization.

48366007650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77601 (or 77593 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 48366007650 in words is "forty-eight billion, three hundred sixty-six million, seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 73 75 90 95 114 146 150 171 190 219 225 285 342 365 438 450 475 570 657 730 855 950 1095 1314 1387 1425 1710 1825 2190 2774 2850 3285 3650 4161 4275 5475 6570 6935 8322 8550 10950 12483 13870 16425 20805 24966 32850 34675 41610 62415 69350 77491 104025 124830 154982 208050 232473 312075 387455 464946 624150 697419 774910 1162365 1394838 1472329 1937275 2324730 2944658 3487095 3874550 4416987 5656843 5811825 6974190 7361645 8833974 11313686 11623650 13250961 14723290 16970529 17435475 22084935 26501922 28284215 33941058 34870950 36808225 44169870 50911587 56568430 66254805 73616450 84852645 101823174 107480017 110424675 132509610 141421075 169705290 214960034 220849350 254557935 282842150 322440051 331274025 424263225 509115870 537400085 644880102 662548050 848526450 967320153 1074800170 1272789675 1612200255 1934640306 2545579350 2687000425 3224400510 4836600765 5374000850 8061001275 9673201530 16122002550 24183003825 48366007650