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60101051328 = 2634109106363
BaseRepresentation
bin110111111110010011…
…010100001111000000
312202010112201202010000
4313332103110033000
51441041332120303
643335434040000
74225234335663
oct677623241700
9182115652100
1060101051328
112354152745a
12b793879000
13588a67b386
142ca20796da
15186b563da3
hexdfe4d43c0

60101051328 has 140 divisors (see below), whose sum is σ = 179794514680. Its totient is φ = 19849701888.

The previous prime is 60101051327. The next prime is 60101051369. The reversal of 60101051328 is 82315010106.

60101051328 is a `hidden beast` number, since 601 + 0 + 1 + 0 + 51 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×601010513282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60101051327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 511875 + ... + 618237.

Almost surely, 260101051328 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 60101051328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89897257340).

60101051328 is an abundant number, since it is smaller than the sum of its proper divisors (119693463352).

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

60101051328 is a wasteful number, since it uses less digits than its factorization.

60101051328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106496 (or 106477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 60101051328 in words is "sixty billion, one hundred one million, fifty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 109 144 162 192 216 218 288 324 327 432 436 576 648 654 864 872 981 1296 1308 1728 1744 1962 2592 2616 2943 3488 3924 5184 5232 5886 6976 7848 8829 10464 11772 15696 17658 20928 23544 31392 35316 47088 62784 70632 94176 106363 141264 188352 212726 282528 319089 425452 565056 638178 850904 957267 1276356 1701808 1914534 2552712 2871801 3403616 3829068 5105424 5743602 6807232 7658136 8615403 10210848 11487204 11593567 15316272 17230806 20421696 22974408 23187134 30632544 34461612 34780701 45948816 46374268 61265088 68923224 69561402 91897632 92748536 104342103 137846448 139122804 183795264 185497072 208684206 275692896 278245608 313026309 370994144 417368412 551385792 556491216 626052618 741988288 834736824 939078927 1112982432 1252105236 1669473648 1878157854 2225964864 2504210472 3338947296 3756315708 5008420944 6677894592 7512631416 10016841888 15025262832 20033683776 30050525664 60101051328