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4646088431016 = 2336754716993109
BaseRepresentation
bin100001110011100000001…
…1100110101010110101000
3121110011100220001122010220
41003213000130311112220
51102110142114243031
613514214503210040
7656445255026514
oct103470034652650
917404326048126
104646088431016
11153143888357a
12630539746920
1327917ccc6ca6
14120c2c61d144
1580cc70b4596
hex439c07355a8

4646088431016 has 128 divisors (see below), whose sum is σ = 11820886080000. Its totient is φ = 1521406478592.

The previous prime is 4646088431011. The next prime is 4646088431081. The reversal of 4646088431016 is 6101348806464.

It is a super-2 number, since 2×46460884310162 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4646088431016.

It is not an unprimeable number, because it can be changed into a prime (4646088431011) 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 31 ways as a sum of consecutive naturals, for example, 1494398070 + ... + 1494401178.

It is an arithmetic number, because the mean of its divisors is an integer number (92350672500).

Almost surely, 24646088431016 is an apocalyptic number.

It is an amenable number.

4646088431016 is an abundant number, since it is smaller than the sum of its proper divisors (7174797648984).

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

4646088431016 is a wasteful number, since it uses less digits than its factorization.

4646088431016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5427 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 4646088431016 in words is "four trillion, six hundred forty-six billion, eighty-eight million, four hundred thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 547 804 1094 1608 1641 1699 2188 3109 3282 3398 4376 5097 6218 6564 6796 9327 10194 12436 13128 13592 18654 20388 24872 36649 37308 40776 73298 74616 109947 113833 146596 208303 219894 227666 293192 341499 416606 439788 455332 624909 682998 833212 879576 910664 929353 1249818 1365996 1666424 1700623 1858706 2499636 2731992 2788059 3401246 3717412 4999272 5101869 5282191 5576118 6802492 7434824 10203738 10564382 11152236 13604984 15846573 20407476 21128764 22304472 31693146 40814952 42257528 62266651 63386292 113941741 124533302 126772584 186799953 227883482 249066604 341825223 353906797 373599906 455766964 498133208 683650446 707813594 747199812 911533928 1061720391 1367300892 1415627188 1494399624 2123440782 2734601784 2831254376 2889358477 4246881564 5778716954 8493763128 8668075431 11557433908 17336150862 23114867816 34672301724 69344603448 193587017959 387174035918 580761053877 774348071836 1161522107754 1548696143672 2323044215508 4646088431016