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168480510340 = 225234160714717
BaseRepresentation
bin1001110011101000111…
…0001001000110000100
3121002212200210201011111
42130322032021012010
510230022002312330
6205222054014404
715113050465102
oct2347216110604
9532780721144
10168480510340
11654a794609a
122879b947404
1312b701cca8c
148223d3cc72
1545b125132a
hex273a389184

168480510340 has 96 divisors (see below), whose sum is σ = 378845558784. Its totient is φ = 62781987840.

The previous prime is 168480510337. The next prime is 168480510379. The reversal of 168480510340 is 43015084861.

It is a junction number, because it is equal to n+sod(n) for n = 168480510293 and 168480510302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11440662 + ... + 11455378.

It is an arithmetic number, because the mean of its divisors is an integer number (3946307904).

Almost surely, 2168480510340 is an apocalyptic number.

168480510340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168480510340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189422779392).

168480510340 is an abundant number, since it is smaller than the sum of its proper divisors (210365048444).

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

168480510340 is a wasteful number, since it uses less digits than its factorization.

168480510340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15397 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 168480510340 in words is "one hundred sixty-eight billion, four hundred eighty million, five hundred ten thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 607 820 943 1214 1886 2428 3035 3772 4715 6070 9430 12140 13961 14717 18860 24887 27922 29434 49774 55844 58868 69805 73585 99548 124435 139610 147170 248870 279220 294340 338491 497740 572401 603397 676982 1144802 1206794 1353964 1692455 2289604 2413588 2862005 3016985 3384910 5724010 6033970 6769820 8933219 11448020 12067940 13878131 17866438 27756262 35732876 44666095 55512524 69390655 89332190 138781310 178664380 205464037 277562620 366261979 410928074 732523958 821856148 1027320185 1465047916 1831309895 2054640370 3662619790 4109280740 7325239580 8424025517 16848051034 33696102068 42120127585 84240255170 168480510340