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154945364161 = 7253210612
BaseRepresentation
bin1001000001001101110…
…1101010000011000001
3112210221102001001011011
42100103131222003001
510014312003123121
6155103024520521
714123455602400
oct2202335520301
9483842031134
10154945364161
115a791689475
1226042a80141
13117c3cbb843
1476dc4ad637
15406cd427e1
hex241376a0c1

154945364161 has 27 divisors (see below), whose sum is σ = 183880844553. Its totient is φ = 130181644320.

The previous prime is 154945364159. The next prime is 154945364201. The reversal of 154945364161 is 161463549451.

It is a happy number.

The square root of 154945364161 is 393631.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22408593025 + 132536771136 = 149695^2 + 364056^2 .

It is not a de Polignac number, because 154945364161 - 21 = 154945364159 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (154945364131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146036571 + ... + 146037631.

Almost surely, 2154945364161 is an apocalyptic number.

154945364161 is the 393631-st square number.

154945364161 is the 196816-th centered octagonal number.

It is an amenable number.

154945364161 is a deficient number, since it is larger than the sum of its proper divisors (28935480392).

154945364161 is an frugal number, since it uses more digits than its factorization.

154945364161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 1121 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

Multiplying 154945364161 by its sum of digits (49), we get a square (7592322843889 = 27554172).

154945364161 divided by its sum of digits (49) gives a square (3162150289 = 562332).

The spelling of 154945364161 in words is "one hundred fifty-four billion, nine hundred forty-five million, three hundred sixty-four thousand, one hundred sixty-one".

Divisors: 1 7 49 53 371 1061 2597 2809 7427 19663 51989 56233 137641 393631 1125721 2755417 2980349 7880047 20862443 55160329 59663213 146037101 417642491 2923497437 3162150289 22135052023 154945364161