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63060752161 = 1123726172
BaseRepresentation
bin111010101110101101…
…101011011100100001
320000202210221010101101
4322232231223130201
52013122023032121
644545242434401
74361463356251
oct725655533441
9200683833341
1063060752161
1124820172500
121027ab02a01
135c3c8c2b44
1430a3191961
1519912e7491
hexeaeb6b721

63060752161 has 27 divisors (see below), whose sum is σ = 71354360217. Its totient is φ = 55688149440.

The previous prime is 63060752147. The next prime is 63060752173. The reversal of 63060752161 is 16125706036.

The square root of 63060752161 is 251119.

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 1586508561 + 61474243600 = 39831^2 + 247940^2 .

It is not a de Polignac number, because 63060752161 - 213 = 63060743969 is a prime.

It is a super-2 number, since 2×630607521612 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 63060752161.

It is not an unprimeable number, because it can be changed into a prime (63060752191) 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, 102205125 + ... + 102205741.

Almost surely, 263060752161 is an apocalyptic number.

63060752161 is the 251119-th square number.

63060752161 is the 125560-th centered octagonal number.

It is an amenable number.

63060752161 is a deficient number, since it is larger than the sum of its proper divisors (8293608056).

63060752161 is an frugal number, since it uses more digits than its factorization.

63060752161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The spelling of 63060752161 in words is "sixty-three billion, sixty million, seven hundred fifty-two thousand, one hundred sixty-one".

Divisors: 1 11 37 121 407 617 1369 4477 6787 15059 22829 74657 165649 251119 380689 844673 2762309 4187579 9291403 14085493 46063369 102205433 154940423 521163241 1704344653 5732795651 63060752161