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160005630040 = 2351071091971741
BaseRepresentation
bin1001010100000100010…
…1000010100001011000
3120022000001211011221221
42111001011002201120
510110142420130130
6201301111541424
714363042262214
oct2250105024130
9508001734857
10160005630040
1161949009093
122701568a874
131211c48b3c9
147a5c57b944
15426720087a
hex2541142858

160005630040 has 128 divisors (see below), whose sum is σ = 368784187200. Its totient is φ = 62467614720.

The previous prime is 160005630017. The next prime is 160005630041. The reversal of 160005630040 is 40036500061.

160005630040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 160005629987 and 160005630014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (160005630041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91903570 + ... + 91905310.

Almost surely, 2160005630040 is an apocalyptic number.

160005630040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

160005630040 is an abundant number, since it is smaller than the sum of its proper divisors (208778557160).

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

160005630040 is a wasteful number, since it uses less digits than its factorization.

160005630040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 160005630040 in words is "one hundred sixty billion, five million, six hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 107 109 197 214 218 394 428 436 535 545 788 856 872 985 1070 1090 1576 1741 1970 2140 2180 3482 3940 4280 4360 6964 7880 8705 11663 13928 17410 21079 21473 23326 34820 42158 42946 46652 58315 69640 84316 85892 93304 105395 107365 116630 168632 171784 186287 189769 210790 214730 233260 342977 372574 379538 421580 429460 466520 685954 745148 759076 843160 858920 931435 948845 1371908 1490296 1518152 1714885 1862870 1897690 2297611 2743816 3429770 3725740 3795380 4595222 6859540 7451480 7590760 9190444 11488055 13719080 18380888 20305283 22976110 36698539 37384493 40610566 45952220 73397078 74768986 81221132 91904440 101526415 146794156 149537972 162442264 183492695 186922465 203052830 293588312 299075944 366985390 373844930 406105660 733970780 747689860 812211320 1467941560 1495379720 4000140751 8000281502 16000563004 20000703755 32001126008 40001407510 80002815020 160005630040