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4378348484081 = 11131937401310853
BaseRepresentation
bin111111101101101001111…
…001111111010111110001
3120111120021122010002201222
4333231221321333113301
51033213324202442311
613151215135034425
7631216362030035
oct77555171772761
916446248102658
104378348484081
111438935637660
125a867806ba15
13259b51859ca0
14111cadb561c5
1578d56b5eadb
hex3fb69e7f5f1

4378348484081 has 64 divisors (see below), whose sum is σ = 5562756622080. Its totient is φ = 3385532298240.

The previous prime is 4378348484017. The next prime is 4378348484129. The reversal of 4378348484081 is 1804848438734.

It is a cyclic number.

It is not a de Polignac number, because 4378348484081 - 26 = 4378348484017 is a prime.

It is a super-3 number, since 3×43783484840813 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4378348484381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 403417451 + ... + 403428303.

It is an arithmetic number, because the mean of its divisors is an integer number (86918072220).

Almost surely, 24378348484081 is an apocalyptic number.

It is an amenable number.

4378348484081 is a deficient number, since it is larger than the sum of its proper divisors (1184408137999).

4378348484081 is a wasteful number, since it uses less digits than its factorization.

4378348484081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14946.

The product of its (nonzero) digits is 66060288, while the sum is 62.

The spelling of 4378348484081 in words is "four trillion, three hundred seventy-eight billion, three hundred forty-eight million, four hundred eighty-four thousand, eighty-one".

Divisors: 1 11 13 19 37 143 209 247 407 481 703 2717 4013 5291 7733 9139 10853 44143 52169 76247 100529 119383 141089 148481 206207 401561 573859 838717 991211 1551979 1633291 1930253 2268277 2680691 2821139 4417171 5220293 7629659 10903321 21232783 29487601 31032529 36674807 43553089 57423223 83926249 99185567 403422877 479083979 566190157 827508691 1091041237 1611464293 6228091727 9102595601 10757612983 17726107223 20949035809 30617821567 118333742813 230439393899 336796037237 398031680371 4378348484081