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161541434560 = 26511349131497
BaseRepresentation
bin1001011001110010011…
…1101010110011000000
3120102222002201010200211
42112130213222303000
510121314101401220
6202113333323504
714446101352342
oct2263447526300
9512862633624
10161541434560
1162566a23820
1227383a96594
131230570868c
147b66521292
154306e6db5a
hex259c9eacc0

161541434560 has 112 divisors (see below), whose sum is σ = 420846199200. Its totient is φ = 58573578240.

The previous prime is 161541434539. The next prime is 161541434567. The reversal of 161541434560 is 65434145161.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (161541434567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1162732 + ... + 1294228.

It is an arithmetic number, because the mean of its divisors is an integer number (3757555350).

Almost surely, 2161541434560 is an apocalyptic number.

161541434560 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 161541434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210423099600).

161541434560 is an abundant number, since it is smaller than the sum of its proper divisors (259304764640).

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

161541434560 is a wasteful number, since it uses less digits than its factorization.

161541434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131874 (or 131864 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 161541434560 in words is "one hundred sixty-one billion, five hundred forty-one million, four hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 349 352 440 698 704 880 1396 1745 1760 2792 3490 3520 3839 5584 6980 7678 11168 13960 15356 19195 22336 27920 30712 38390 55840 61424 76780 111680 122848 131497 153560 245696 262994 307120 525988 614240 657485 1051976 1228480 1314970 1446467 2103952 2629940 2892934 4207904 5259880 5785868 7232335 8415808 10519760 11571736 14464670 21039520 23143472 28929340 42079040 45892453 46286944 57858680 91784906 92573888 115717360 183569812 229462265 231434720 367139624 458924530 462869440 504816983 734279248 917849060 1009633966 1468558496 1835698120 2019267932 2524084915 2937116992 3671396240 4038535864 5048169830 7342792480 8077071728 10096339660 14685584960 16154143456 20192679320 32308286912 40385358640 80770717280 161541434560