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10044759717414 = 2336171627185299
BaseRepresentation
bin1001001000101011101001…
…0101011011011000100110
31022120021021120112111011000
42102022322111123120212
52304033131441424124
633210255433054130
72054465336562252
oct222127225333046
938507246474130
1010044759717414
113222a5aaa3214
1211628a9857346
1357b2a834a006
1426a2518d1262
1512644971b6c9
hex922ba55b626

10044759717414 has 64 divisors (see below), whose sum is σ = 22371728544000. Its totient is φ = 3340753948224.

The previous prime is 10044759717413. The next prime is 10044759717437. The reversal of 10044759717414 is 41471795744001.

It is a happy number.

10044759717414 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 7 + 597 + 1 + 7 + 41 + 4 = 666.

It is a super-2 number, since 2×100447597174142 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10044759717413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54115737 + ... + 54301035.

It is an arithmetic number, because the mean of its divisors is an integer number (349558258500).

Almost surely, 210044759717414 is an apocalyptic number.

10044759717414 is an abundant number, since it is smaller than the sum of its proper divisors (12326968826586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10044759717414 is a wasteful number, since it uses less digits than its factorization.

10044759717414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187554 (or 187548 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 10044759717414 in words is "ten trillion, forty-four billion, seven hundred fifty-nine million, seven hundred seventeen thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 617 1234 1627 1851 3254 3702 4881 5553 9762 11106 14643 16659 29286 33318 43929 87858 185299 370598 555897 1003859 1111794 1667691 2007718 3011577 3335382 5003073 6023154 9034731 10006146 18069462 27104193 54208386 114329483 228658966 301481473 342988449 602962946 685976898 904444419 1028965347 1808888838 2057930694 2713333257 3086896041 5426666514 6173792082 8139999771 16279999542 186014068841 372028137682 558042206523 1116084413046 1674126619569 3348253239138 5022379858707 10044759717414