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160001000000 = 2656160001
BaseRepresentation
bin1001010100000011001…
…1011000001001000000
3120021222202002221201222
42111000303120021000
510110140224000000
6201300424414212
714362655026442
oct2250063301100
9507882087658
10160001000000
1161946436506
1227014017368
131211b529b3a
147a5bad4492
154266ad8a85
hex2540cd8240

160001000000 has 98 divisors (see below), whose sum is σ = 396874880874. Its totient is φ = 64000000000.

The previous prime is 160000999973. The next prime is 160001000057. The reversal of 160001000000 is 100061.

It can be written as a sum of positive squares in 7 ways, for example, as 140439061504 + 19561938496 = 374752^2 + 139864^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 920000 + ... + 1080000.

Almost surely, 2160001000000 is an apocalyptic number.

160001000000 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 160001000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198437440437).

160001000000 is an abundant number, since it is smaller than the sum of its proper divisors (236873880874).

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

160001000000 is an frugal number, since it uses more digits than its factorization.

160001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160043 (or 160008 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 160001000000 its reverse (100061), we get a palindrome (160001100061).

The spelling of 160001000000 in words is "one hundred sixty billion, one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 160001 200000 250000 320002 500000 640004 800005 1000000 1280008 1600010 2560016 3200020 4000025 5120032 6400040 8000050 10240064 12800080 16000100 20000125 25600160 32000200 40000250 51200320 64000400 80000500 100000625 128000800 160001000 200001250 256001600 320002000 400002500 500003125 640004000 800005000 1000006250 1280008000 1600010000 2000012500 2500015625 3200020000 4000025000 5000031250 6400040000 8000050000 10000062500 16000100000 20000125000 32000200000 40000250000 80000500000 160001000000