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60106430020 = 225713129725463
BaseRepresentation
bin110111111110100111…
…110101011001000100
312202010220212000021211
4313332213311121010
51441044221230040
643340145221204
74225331140210
oct677647653104
9182126760254
1060106430020
112354457055a
12b795631804
13588b812630
142ca2a79940
15186bc778ea
hexdfe9f5644

60106430020 has 96 divisors (see below), whose sum is σ = 155477887488. Its totient is φ = 19007281152.

The previous prime is 60106429987. The next prime is 60106430057. The reversal of 60106430020 is 2003460106.

It is a super-2 number, since 2×601064300202 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 60106429973 and 60106430000.

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, 2347809 + ... + 2373271.

It is an arithmetic number, because the mean of its divisors is an integer number (1619561328).

Almost surely, 260106430020 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 60106430020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77738943744).

60106430020 is an abundant number, since it is smaller than the sum of its proper divisors (95371457468).

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

60106430020 is a wasteful number, since it uses less digits than its factorization.

60106430020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26789 (or 26787 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 60106430020 its reverse (2003460106), we get a palindrome (62109890126).

The spelling of 60106430020 in words is "sixty billion, one hundred six million, four hundred thirty thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1297 1820 2594 5188 6485 9079 12970 16861 18158 25463 25940 33722 36316 45395 50926 67444 84305 90790 101852 118027 127315 168610 178241 181580 236054 254630 331019 337220 356482 472108 509260 590135 662038 712964 891205 1180270 1324076 1655095 1782410 2317133 2360540 3310190 3564820 4634266 6620380 9268532 11585665 23171330 33025511 46342660 66051022 132102044 165127555 231178577 330255110 429331643 462357154 660510220 858663286 924714308 1155892885 1717326572 2146658215 2311785770 3005321501 4293316430 4623571540 6010643002 8586632860 12021286004 15026607505 30053215010 60106430020