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4627668485034 = 2327292441518831
BaseRepresentation
bin100001101010111011010…
…0010010100001110101010
3121101101211011200102112100
41003111312202110032222
51101304431113010114
613501531015554230
7655223640050220
oct103256642241652
917341734612470
104627668485034
111524646242521
12628a5898b976
13277505a9047a
1411dda2118b10
1580599e07909
hex435768943aa

4627668485034 has 96 divisors (see below), whose sum is σ = 11859005283840. Its totient is φ = 1276072761600.

The previous prime is 4627668485017. The next prime is 4627668485039. The reversal of 4627668485034 is 4305848667264.

4627668485034 is a `hidden beast` number, since 4 + 6 + 27 + 6 + 68 + 48 + 503 + 4 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4627668485039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8659999 + ... + 9178829.

It is an arithmetic number, because the mean of its divisors is an integer number (123531305040).

Almost surely, 24627668485034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4627668485034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929502641920).

4627668485034 is an abundant number, since it is smaller than the sum of its proper divisors (7231336798806).

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

4627668485034 is a wasteful number, since it uses less digits than its factorization.

4627668485034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521316 (or 521313 counting only the distinct ones).

The product of its (nonzero) digits is 185794560, while the sum is 63.

The spelling of 4627668485034 in words is "four trillion, six hundred twenty-seven billion, six hundred sixty-eight million, four hundred eighty-five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 406 522 609 1218 1827 2441 3654 4882 7323 14646 17087 21969 34174 43938 51261 70789 102522 141578 153783 212367 307566 424734 495523 518831 637101 991046 1037662 1274202 1486569 1556493 2973138 3112986 3631817 4459707 4669479 7263634 8919414 9338958 10895451 15046099 21790902 30092198 32686353 45138297 65372706 90276594 105322693 135414891 210645386 270829782 315968079 631936158 947904237 1266466471 1895808474 2532932942 3799399413 7598798826 8865265297 11398198239 17730530594 22796396478 26595795891 36727527659 53191591782 73455055318 79787387673 110182582977 159574775346 220365165954 257092693613 330547748931 514185387226 661095497862 771278080839 1542556161678 2313834242517 4627668485034