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180089475346564 = 22729585532
BaseRepresentation
bin101000111100101001011001…
…001101001011000010000100
3212121122101102011211002211021
4220330221121031023002010
5142101041221142042224
61435003543550320524
752635015040212400
oct5074513115130204
9777571364732737
10180089475346564
1152422576a01523
1218246668ab9144
1379644981c2ac4
14326853cb32100
1515c481949c1e4
hexa3ca5934b084

180089475346564 has 27 divisors (see below), whose sum is σ = 366611100132837. Its totient is φ = 77181123201504.

The previous prime is 180089475346541. The next prime is 180089475346591. The reversal of 180089475346564 is 465643574980081.

The square root of 180089475346564 is 13419742.

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

It can be written as a sum of positive squares in only one way, i.e., 25420654772100 + 154668820574464 = 5041890^2 + 12436592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 180089475346493 and 180089475346502.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187397112 + ... + 188355664.

Almost surely, 2180089475346564 is an apocalyptic number.

180089475346564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

180089475346564 is the 13419742-nd square number.

It is an amenable number.

180089475346564 is an abundant number, since it is smaller than the sum of its proper divisors (186521624786273).

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

180089475346564 is an frugal number, since it uses more digits than its factorization.

180089475346564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917124 (or 958562 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 70.

The spelling of 180089475346564 in words is "one hundred eighty trillion, eighty-nine billion, four hundred seventy-five million, three hundred forty-six thousand, five hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 958553 1917106 3834212 6709871 13419742 26839484 46969097 93938194 187876388 918823853809 1837647707618 3675295415236 6431766976663 12863533953326 25727067906652 45022368836641 90044737673282 180089475346564