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160269295382001 = 341321082032
BaseRepresentation
bin100100011100001110011010…
…011010110110110111110001
3210000110121001202110212110000
4210130032122122312313301
5132001323004104211001
61324510410423500213
745521034355230531
oct4434163232666761
9700417052425400
10160269295382001
1147080910038623
1215b8531a8b7669
136b57439492900
142b8110a8254c1
15137de8b121a86
hex91c39a6b6df1

160269295382001 has 45 divisors (see below), whose sum is σ = 259250186716059. Its totient is φ = 98626347194544.

The previous prime is 160269295381981. The next prime is 160269295382017. The reversal of 160269295382001 is 100283592962061.

The square root of 160269295382001 is 12659751.

It is a perfect power (a square), and thus also a powerful number.

160269295382001 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 69 + 29 + 538 + 20 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23708475648225 + 136560819733776 = 4869135^2 + 11685924^2 .

It is not a de Polignac number, because 160269295382001 - 213 = 160269295373809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (160269295382201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1481136766 + ... + 1481244968.

Almost surely, 2160269295382001 is an apocalyptic number.

160269295382001 is the 12659751-st square number.

160269295382001 is the 6329876-th centered octagonal number.

It is an amenable number.

160269295382001 is a deficient number, since it is larger than the sum of its proper divisors (98980891334058).

160269295382001 is an frugal number, since it uses more digits than its factorization.

160269295382001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216444 (or 108219 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 160269295382001 in words is "one hundred sixty trillion, two hundred sixty-nine billion, two hundred ninety-five million, three hundred eighty-two thousand, one".

Divisors: 1 3 9 13 27 39 81 117 169 351 507 1053 1521 4563 13689 108203 324609 973827 1406639 2921481 4219917 8764443 12659751 18286307 37979253 54858921 113937759 164576763 493730289 1481190867 11707889209 35123667627 105371002881 152202559717 316113008643 456607679151 948339025929 1369823037453 1978633276321 4109469112359 5935899828963 12328407337077 17807699486889 53423098460667 160269295382001