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944417668525 = 521009136127509
BaseRepresentation
bin11011011111000111010…
…11011111110110101101
310100021201002110102200121
431233203223133312231
5110433131410343100
62001505352124541
7125142356505262
oct15574353376655
93307632412617
10944417668525
11334586175661
1213304b696751
136b09ab497c6
14339d258b269
1519876c8c51a
hexdbe3adfdad

944417668525 has 24 divisors (see below), whose sum is σ = 1173142492200. Its totient is φ = 754203340800.

The previous prime is 944417668507. The next prime is 944417668543. The reversal of 944417668525 is 525866714449.

It is an interprime number because it is at equal distance from previous prime (944417668507) and next prime (944417668543).

It can be written as a sum of positive squares in 12 ways, for example, as 743425052841 + 200992615684 = 862221^2 + 448322^2 .

It is not a de Polignac number, because 944417668525 - 29 = 944417668013 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34317471 + ... + 34344979.

It is an arithmetic number, because the mean of its divisors is an integer number (48880937175).

Almost surely, 2944417668525 is an apocalyptic number.

It is an amenable number.

944417668525 is a deficient number, since it is larger than the sum of its proper divisors (228724823675).

944417668525 is a wasteful number, since it uses less digits than its factorization.

944417668525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29889 (or 29884 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 61.

The spelling of 944417668525 in words is "nine hundred forty-four billion, four hundred seventeen million, six hundred sixty-eight thousand, five hundred twenty-five".

Divisors: 1 5 25 1009 1361 5045 6805 25225 27509 34025 137545 687725 1373249 6866245 27756581 34331225 37439749 138782905 187198745 693914525 935993725 37776706741 188883533705 944417668525