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640401410336541 = 3767509894211807
BaseRepresentation
bin1001000110011100010001001…
…0100100111010011100011101
310002222110202222101012002001020
42101213010102210322130131
51132414314042021232131
610150004202501234353
7251614321642021230
oct22147042244723435
93088422871162036
10640401410336541
111760627929a50a7
125b9aa1007029b9
132164479496cc89
14b41d844d4d417
154e0849c51a996
hex246711293a71d

640401410336541 has 32 divisors (see below), whose sum is σ = 992360496046080. Its totient is φ = 359773601178816.

The previous prime is 640401410336533. The next prime is 640401410336543. The reversal of 640401410336541 is 145633014104046.

It is not a de Polignac number, because 640401410336541 - 23 = 640401410336533 is a prime.

It is a super-2 number, since 2×6404014103365412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 640401410336493 and 640401410336502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640401410336543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446389741 + ... + 447822066.

It is an arithmetic number, because the mean of its divisors is an integer number (31011265501440).

Almost surely, 2640401410336541 is an apocalyptic number.

It is an amenable number.

640401410336541 is a deficient number, since it is larger than the sum of its proper divisors (351959085709539).

640401410336541 is a wasteful number, since it uses less digits than its factorization.

640401410336541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894212393.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 640401410336541 in words is "six hundred forty trillion, four hundred one billion, four hundred ten million, three hundred thirty-six thousand, five hundred forty-one".

Divisors: 1 3 7 21 67 201 469 509 1407 1527 3563 10689 34103 102309 238721 716163 894211807 2682635421 6259482649 18778447947 59912191069 179736573207 419385337483 455153809763 1258156012449 1365461429289 3186076668341 9558230005023 30495305254121 91485915762363 213467136778847 640401410336541