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161327438000 = 2453415319423
BaseRepresentation
bin1001011000111111011…
…1010101100010110000
3120102102012000222121022
42112033313111202300
510120344311004000
6202040210515012
714440562411561
oct2261767254260
9512365028538
10161327438000
1162467150a63
1227324295a68
13122a02906b1
147b45d38168
1542e329c585
hex258fdd58b0

161327438000 has 80 divisors (see below), whose sum is σ = 390203763456. Its totient is φ = 64512115200.

The previous prime is 161327437951. The next prime is 161327438023. The reversal of 161327438000 is 834723161.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8296289 + ... + 8315711.

Almost surely, 2161327438000 is an apocalyptic number.

161327438000 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 161327438000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195101881728).

161327438000 is an abundant number, since it is smaller than the sum of its proper divisors (228876325456).

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

161327438000 is a wasteful number, since it uses less digits than its factorization.

161327438000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23599 (or 23583 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 161327438000 in words is "one hundred sixty-one billion, three hundred twenty-seven million, four hundred thirty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 4153 8306 16612 19423 20765 33224 38846 41530 66448 77692 83060 97115 103825 155384 166120 194230 207650 310768 332240 388460 415300 485575 519125 776920 830600 971150 1038250 1553840 1661200 1942300 2076500 2427875 3884600 4153000 4855750 7769200 8306000 9711500 19423000 38846000 80663719 161327438 322654876 403318595 645309752 806637190 1290619504 1613274380 2016592975 3226548760 4033185950 6453097520 8066371900 10082964875 16132743800 20165929750 32265487600 40331859500 80663719000 161327438000