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68590906272 = 253571260121
BaseRepresentation
bin111111111000010101…
…100010101110100000
320120001012220001200000
4333320111202232200
52110433233000042
651302113100000
74645514040450
oct777025425640
9216035801600
1068590906272
11270a88620a9
1211362b57600
136611533995
143469817d60
151bb6a7174c
hexff8562ba0

68590906272 has 144 divisors (see below), whose sum is σ = 231176941632. Its totient is φ = 19597386240.

The previous prime is 68590906259. The next prime is 68590906273. The reversal of 68590906272 is 27260909586.

68590906272 is a `hidden beast` number, since 6 + 8 + 5 + 9 + 0 + 9 + 0 + 627 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (68590906273) 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 23 ways as a sum of consecutive naturals, for example, 575629 + ... + 684492.

It is an arithmetic number, because the mean of its divisors is an integer number (1605395428).

Almost surely, 268590906272 is an apocalyptic number.

It is an amenable number.

68590906272 is an abundant number, since it is smaller than the sum of its proper divisors (162586035360).

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

68590906272 is a wasteful number, since it uses less digits than its factorization.

68590906272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260153 (or 1260133 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 68590906272 in words is "sixty-eight billion, five hundred ninety million, nine hundred six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 1260121 2520242 3780363 5040484 7560726 8820847 10080968 11341089 15121452 17641694 20161936 22682178 26462541 30242904 34023267 35283388 40323872 45364356 52925082 60485808 68046534 70566776 79387623 90728712 102069801 105850164 120971616 136093068 141133552 158775246 181457424 204139602 211700328 238162869 272186136 282267104 306209403 317550492 362914848 408279204 423400656 476325738 544372272 612418806 635100984 714488607 816558408 846801312 952651476 1088744544 1224837612 1270201968 1428977214 1633116816 1905302952 2143465821 2449675224 2540403936 2857954428 3266233632 3810605904 4286931642 4899350448 5715908856 7621211808 8573863284 9798700896 11431817712 17147726568 22863635424 34295453136 68590906272