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161450054200 = 23524161322771
BaseRepresentation
bin1001011001011100101…
…1000101001000111000
3120102201201202112102001
42112113023011020320
510121122203213300
6202100310550344
714443611550321
oct2262713051070
9512651675361
10161450054200
116251a38a366
12273593683b4
13122bc7c2366
147b58335448
1542ede1d16a
hex25972c5238

161450054200 has 96 divisors (see below), whose sum is σ = 390831703920. Its totient is φ = 61971840000.

The previous prime is 161450054107. The next prime is 161450054201. The reversal of 161450054200 is 2450054161.

161450054200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1614500542002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161450054201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338815 + ... + 661585.

Almost surely, 2161450054200 is an apocalyptic number.

161450054200 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 161450054200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195415851960).

161450054200 is an abundant number, since it is smaller than the sum of its proper divisors (229381649720).

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

161450054200 is a wasteful number, since it uses less digits than its factorization.

161450054200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322889 (or 322880 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 161450054200 in words is "one hundred sixty-one billion, four hundred fifty million, fifty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 61 82 100 122 164 200 205 244 305 328 410 488 610 820 1025 1220 1525 1640 2050 2440 2501 3050 4100 5002 6100 8200 10004 12200 12505 20008 25010 50020 62525 100040 125050 250100 322771 500200 645542 1291084 1613855 2582168 3227710 6455420 8069275 12910840 13233611 16138550 19689031 26467222 32277100 39378062 52934444 64554200 66168055 78756124 98445155 105868888 132336110 157512248 196890310 264672220 330840275 393780620 492225775 529344440 661680550 787561240 807250271 984451550 1323361100 1614500542 1968903100 2646722200 3229001084 3937806200 4036251355 6458002168 8072502710 16145005420 20181256775 32290010840 40362513550 80725027100 161450054200