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806413130802 = 2321929239340201
BaseRepresentation
bin10111011110000011111…
…01111101110000110010
32212002111022120112120200
423233001331331300302
5101203013230141202
61414243332020030
7112155445341246
oct13570175756062
92762438515520
10806413130802
11290aa82098a4
12110356161616
135b076803626
142b05dd96426
1515e9b333e1c
hexbbc1f7dc32

806413130802 has 96 divisors (see below), whose sum is σ = 1910574432000. Its totient is φ = 244846022400.

The previous prime is 806413130801. The next prime is 806413130819. The reversal of 806413130802 is 208031314608.

806413130802 is a `hidden beast` number, since 8 + 0 + 641 + 3 + 1 + 3 + 0 + 8 + 0 + 2 = 666.

It is a super-2 number, since 2×8064131308022 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (806413130801) 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, 2200302 + ... + 2540502.

It is an arithmetic number, because the mean of its divisors is an integer number (19901817000).

Almost surely, 2806413130802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806413130802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955287216000).

806413130802 is an abundant number, since it is smaller than the sum of its proper divisors (1104161301198).

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

806413130802 is a wasteful number, since it uses less digits than its factorization.

806413130802 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340496 (or 340493 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 806413130802 in words is "eight hundred six billion, four hundred thirteen million, one hundred thirty thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 239 261 342 478 522 551 717 1102 1434 1653 2151 3306 4302 4541 4959 6931 9082 9918 13623 13862 20793 27246 40869 41586 62379 81738 124758 131689 263378 340201 395067 680402 790134 1020603 1185201 2041206 2370402 3061809 6123618 6463819 9865829 12927638 19391457 19731658 29597487 38782914 58174371 59194974 81308039 88792461 116348742 162616078 177584922 187450751 243924117 374901502 487848234 562352253 731772351 1124704506 1463544702 1544852741 1687056759 2357933131 3089705482 3374113518 4634558223 4715866262 7073799393 9269116446 13903674669 14147598786 21221398179 27807349338 42442796358 44800729489 89601458978 134402188467 268804376934 403206565401 806413130802