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13132484802 = 23417311011523
BaseRepresentation
bin11000011101100000…
…11101000011000010
31020220020002100110000
430032300131003002
5203343404003202
610011042420430
7643302164463
oct141660350302
936806070400
1013132484802
115629a44228
122666061716
13131397a488
148c81b4d6a
1551cdc191c
hex30ec1d0c2

13132484802 has 160 divisors (see below), whose sum is σ = 32502311424. Its totient is φ = 3945024000.

The previous prime is 13132484791. The next prime is 13132484831. The reversal of 13132484802 is 20848423131.

It is a happy number.

13132484802 is a `hidden beast` number, since 1 + 3 + 132 + 48 + 480 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8622013 + ... + 8623535.

Almost surely, 213132484802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13132484802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251155712).

13132484802 is an abundant number, since it is smaller than the sum of its proper divisors (19369826622).

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

13132484802 is a wasteful number, since it uses less digits than its factorization.

13132484802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13132484802 in words is "thirteen billion, one hundred thirty-two million, four hundred eighty-four thousand, eight hundred two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 81 93 101 102 153 162 186 202 279 303 306 459 527 558 606 837 909 918 1054 1377 1523 1581 1674 1717 1818 2511 2727 2754 3046 3131 3162 3434 4569 4743 5022 5151 5454 6262 8181 9138 9393 9486 10302 13707 14229 15453 16362 18786 25891 27414 28179 28458 30906 41121 42687 46359 47213 51782 53227 56358 77673 82242 84537 85374 92718 94426 106454 123363 139077 141639 153823 155346 159681 169074 233019 246726 253611 278154 283278 307646 319362 424917 461469 466038 479043 507222 699057 802621 849834 922938 958086 1274751 1384407 1398114 1437129 1605242 2097171 2407863 2549502 2614991 2768814 2874258 3824253 4153221 4194342 4311387 4768513 4815726 5229982 7223589 7648506 7844973 8306442 8622774 9537026 12459663 14305539 14447178 15689946 21670767 23534919 24919326 28611078 42916617 43341534 47069838 65012301 70604757 81064721 85833234 128749851 130024602 141209514 162129442 211814271 243194163 257499702 386249553 423628542 486388326 729582489 772499106 1459164978 2188747467 4377494934 6566242401 13132484802