Search a number
-
+
48127601556 = 223231371995857
BaseRepresentation
bin101100110100101000…
…001110101110010100
311121020002120110211100
4230310220032232110
51242031131222211
634035353310100
73322434602106
oct546450165624
9147202513740
1048127601556
111945785a421
1293b1a05330
1346ccb81558
142487bad576
1513ba2da156
hexb34a0eb94

48127601556 has 144 divisors (see below), whose sum is σ = 129644569600. Its totient is φ = 15026964480.

The previous prime is 48127601551. The next prime is 48127601569. The reversal of 48127601556 is 65510672184.

It is a super-2 number, since 2×481276015562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48127601551) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 8214180 + ... + 8220036.

Almost surely, 248127601556 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 48127601556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64822284800).

48127601556 is an abundant number, since it is smaller than the sum of its proper divisors (81516968044).

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

48127601556 is a wasteful number, since it uses less digits than its factorization.

48127601556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6134 (or 6129 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 48127601556 in words is "forty-eight billion, one hundred twenty-seven million, six hundred one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 37 62 74 93 111 124 148 186 199 222 279 333 372 398 444 558 597 666 796 1116 1147 1194 1332 1791 2294 2388 3441 3582 4588 5857 6169 6882 7164 7363 10323 11714 12338 13764 14726 17571 18507 20646 22089 23428 24676 29452 35142 37014 41292 44178 52713 55521 66267 70284 74028 88356 105426 111042 132534 181567 210852 216709 222084 228253 265068 363134 433418 456506 544701 650127 684759 726268 866836 913012 1089402 1165543 1300254 1369518 1634103 1950381 2054277 2178804 2331086 2600508 2739036 3268206 3496629 3900762 4108554 4662172 6536412 6717979 6993258 7801524 8217108 10489887 13435958 13986516 20153937 20979774 26871916 36131833 40307874 41959548 43125091 60461811 72263666 80615748 86250182 108395499 120923622 129375273 144527332 172500364 216790998 241847244 258750546 325186497 388125819 433581996 517501092 650372994 776251638 1300745988 1336877821 1552503276 2673755642 4010633463 5347511284 8021266926 12031900389 16042533852 24063800778 48127601556