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607073164201 = 74159012
BaseRepresentation
bin10001101010110000110…
…00010101101110101001
32011000221222021000200201
420311120120111232221
534421241212223301
61142515140432201
761600560520000
oct10653030255651
92130858230621
10607073164201
11214504a7a549
12997a36a8661
134532916c27a
142154d807c37
1510bd0cda201
hex8d58615ba9

607073164201 has 15 divisors (see below), whose sum is σ = 708254426103. Its totient is φ = 520315702200.

The previous prime is 607073164199. The next prime is 607073164237. The reversal of 607073164201 is 102461370706.

The square root of 607073164201 is 779149.

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., 603261336601 + 3811827600 = 776699^2 + 61740^2 .

It is not a de Polignac number, because 607073164201 - 21 = 607073164199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (607073167201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 38170351 + ... + 38186251.

Almost surely, 2607073164201 is an apocalyptic number.

607073164201 is the 779149-th square number.

607073164201 is the 389575-th centered octagonal number.

It is an amenable number.

607073164201 is a deficient number, since it is larger than the sum of its proper divisors (101181261902).

607073164201 is an frugal number, since it uses more digits than its factorization.

607073164201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31830 (or 15908 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 607073164201 in words is "six hundred seven billion, seventy-three million, one hundred sixty-four thousand, two hundred one".

Divisors: 1 7 49 343 2401 15901 111307 779149 5454043 38178301 252841801 1769892607 12389248249 86724737743 607073164201