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41602537089 = 3413121732
BaseRepresentation
bin100110101111101101…
…000101011010000001
310222101100111212010000
4212233231011122001
51140200222141324
631040102430213
73001643505411
oct465755053201
9128340455100
1041602537089
1116709602963
128090732369
133c00096069
142029362641
1511375379c9
hex9afb45681

41602537089 has 45 divisors (see below), whose sum is σ = 62989112659. Its totient is φ = 27364212720.

The previous prime is 41602537079. The next prime is 41602537099. The reversal of 41602537089 is 98073520614.

The square root of 41602537089 is 203967.

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

41602537089 is a `hidden beast` number, since 4 + 1 + 602 + 5 + 37 + 0 + 8 + 9 = 666.

41602537089 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41602537079) and next prime (41602537099).

It can be written as a sum of positive squares in only one way, i.e., 37843866225 + 3758670864 = 194535^2 + 61308^2 .

It is not a de Polignac number, because 41602537089 - 219 = 41602012801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (41602537019) 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, 240477007 + ... + 240477179.

It is a 1-persistent number, because it is pandigital, but 2⋅41602537089 = 83205074178 is not.

Almost surely, 241602537089 is an apocalyptic number.

41602537089 is the 203967-th square number.

41602537089 is the 101984-th centered octagonal number.

It is an amenable number.

41602537089 is a deficient number, since it is larger than the sum of its proper divisors (21386575570).

41602537089 is an frugal number, since it uses more digits than its factorization.

41602537089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 41602537089 in words is "forty-one billion, six hundred two million, five hundred thirty-seven thousand, eighty-nine".

Divisors: 1 3 9 27 81 131 173 393 519 1179 1557 3537 4671 10611 14013 17161 22663 29929 51483 67989 89787 154449 203967 269361 463347 611901 808083 1390041 1835703 2424249 2968853 3920699 8906559 11762097 26719677 35286291 80159031 105858873 240477093 317576619 513611569 1540834707 4622504121 13867512363 41602537089