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252050897718 = 234192293531013
BaseRepresentation
bin1110101010111101100…
…1110111101100110110
3220002120212020020220000
43222233121313230312
513112200012211333
6311442433252130
724132025165254
oct3525731675466
9802525206800
10252050897718
1197992185044
1240a23404046
131a9cac47139
14c2b0d595d4
156852dd2713
hex3aaf677b36

252050897718 has 160 divisors (see below), whose sum is σ = 599384728800. Its totient is φ = 78944937984.

The previous prime is 252050897717. The next prime is 252050897723. The reversal of 252050897718 is 817798050252.

252050897718 is a `hidden beast` number, since 2 + 52 + 0 + 508 + 9 + 77 + 18 = 666.

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 (252050897717) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 248815780 + ... + 248816792.

It is an arithmetic number, because the mean of its divisors is an integer number (3746154555).

Almost surely, 2252050897718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252050897718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299692364400).

252050897718 is an abundant number, since it is smaller than the sum of its proper divisors (347333831082).

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

252050897718 is a wasteful number, since it uses less digits than its factorization.

252050897718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 252050897718 in words is "two hundred fifty-two billion, fifty million, eight hundred ninety-seven thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 229 342 353 458 513 687 706 1013 1026 1059 1374 1539 2026 2061 2118 3039 3078 3177 4122 4351 6078 6183 6354 6707 8702 9117 9531 12366 13053 13414 18234 18549 19062 19247 20121 26106 27351 28593 37098 38494 39159 40242 54702 57186 57741 60363 78318 80837 82053 115482 117477 120726 161674 164106 173223 181089 231977 234954 242511 346446 352431 357589 362178 463954 485022 519669 543267 695931 704862 715178 727533 1039338 1072767 1086534 1391862 1455066 1535903 1559007 2087793 2145534 2182599 3071806 3118014 3218301 4175586 4365198 4407563 4607709 6263379 6436602 6547797 6794191 8815126 9215418 9654903 12526758 13095594 13222689 13588382 13823127 18790137 19309806 20382573 26445378 27646254 28964709 37580274 39668067 40765146 41469381 57929418 61147719 79336134 81887881 82938762 119004201 122295438 124408143 163775762 183443157 238008402 245663643 248816286 357012603 366886314 491327286 550329471 714025206 736990929 1100658942 1473981858 1555869739 2210972787 3111739478 4421945574 4667609217 6632918361 9335218434 13265836722 14002827651 28005655302 42008482953 84016965906 126025448859 252050897718