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8502141956 = 2271124197631
BaseRepresentation
bin1111110101100010…
…00110010000000100
3210221112021120011112
413322301012100010
5114403022020311
63523354224152
7420456004610
oct77261062004
923845246145
108502141956
113673268100
121793425058
13a56598139
145a925a340
1534b63828b
hex1fac46404

8502141956 has 144 divisors (see below), whose sum is σ = 19374571776. Its totient is φ = 3193344000.

The previous prime is 8502141953. The next prime is 8502142007. The reversal of 8502141956 is 6591412058.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (8502141953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13473761 + ... + 13474391.

Almost surely, 28502141956 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 8502141956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9687285888).

8502141956 is an abundant number, since it is smaller than the sum of its proper divisors (10872429820).

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

8502141956 is a wasteful number, since it uses less digits than its factorization.

8502141956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 41.

The square root of 8502141956 is about 92207.0602285964. The cubic root of 8502141956 is about 2040.9989625541.

The spelling of 8502141956 in words is "eight billion, five hundred two million, one hundred forty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 97 121 154 164 194 242 287 308 388 451 484 574 631 679 847 902 1067 1148 1262 1358 1694 1804 2134 2524 2716 3157 3388 3977 4268 4417 4961 6314 6941 7469 7954 8834 9922 11737 12628 13882 14938 15908 17668 19844 23474 25871 27764 27839 29876 34727 43747 46948 48587 51742 55678 61207 69454 76351 82159 87494 97174 103484 111356 122414 138908 152702 164318 174988 181097 194348 244828 284581 305404 306229 328636 362194 428449 481217 534457 569162 612458 673277 724388 856898 962434 1068914 1138324 1224916 1346554 1713796 1924868 1992067 2137828 2509487 2693108 3130391 3368519 3984134 4712939 5018974 6260782 6737038 7406047 7968268 9425878 10037948 12521564 13474076 14812094 17566409 18851756 21912737 27604357 29624188 35132818 43825474 51842329 55208714 70265636 87650948 103684658 110417428 193230499 207369316 303647927 386460998 607295854 772921996 1214591708 2125535489 4251070978 8502141956