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60228648168 = 233136123913241
BaseRepresentation
bin111000000101111010…
…000011110011101000
312202110102211100001220
4320011322003303220
51441322013220133
643400232542040
74231344030303
oct700572036350
9182412740056
1060228648168
11235a7557897
12b80a551920
1358aac35070
142cb4db1b3a
15187786a5b3
hexe05e83ce8

60228648168 has 128 divisors (see below), whose sum is σ = 165514406400. Its totient is φ = 18150451200.

The previous prime is 60228648143. The next prime is 60228648187. The reversal of 60228648168 is 86184682206.

It is a self number, because there is not a number n which added to its sum of digits gives 60228648168.

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 31 ways as a sum of consecutive naturals, for example, 4542028 + ... + 4555268.

It is an arithmetic number, because the mean of its divisors is an integer number (1293081300).

Almost surely, 260228648168 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 60228648168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82757203200).

60228648168 is an abundant number, since it is smaller than the sum of its proper divisors (105285758232).

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

60228648168 is a wasteful number, since it uses less digits than its factorization.

60228648168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13563 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 60228648168 in words is "sixty billion, two hundred twenty-eight million, six hundred forty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 239 244 312 366 478 488 717 732 793 956 1434 1464 1586 1912 2379 2868 3107 3172 4758 5736 6214 6344 9321 9516 12428 13241 14579 18642 19032 24856 26482 29158 37284 39723 43737 52964 58316 74568 79446 87474 105928 116632 158892 172133 174948 189527 317784 344266 349896 379054 516399 568581 688532 758108 807701 1032798 1137162 1377064 1516216 1615402 2065596 2274324 2423103 3164599 3230804 4131192 4548648 4846206 6329198 6461608 9493797 9692412 10500113 12658396 18987594 19384824 21000226 25316792 31500339 37975188 41139787 42000452 63000678 75950376 82279574 84000904 123419361 126001356 164559148 193040539 246838722 252002712 329118296 386081078 493677444 579121617 772162156 987354888 1158243234 1544324312 2316486468 2509527007 4632972936 5019054014 7528581021 10038108028 15057162042 20076216056 30114324084 60228648168