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4054458707670 = 2357311447430411
BaseRepresentation
bin111011000000000000100…
…100100010111011010110
3112100121021012100200122010
4323000000210202323112
51012412012412121140
612342332001045050
7565632160246440
oct73000044427326
915317235320563
104054458707670
111323539271798
12555946026786
13235445515107
14100345cab490
15706ebed3880
hex3b000922ed6

4054458707670 has 128 divisors (see below), whose sum is σ = 11487496568832. Its totient is φ = 896216918400.

The previous prime is 4054458707603. The next prime is 4054458707683. The reversal of 4054458707670 is 767078544504.

It is a super-3 number, since 3×40544587076703 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4054458707670.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9204765 + ... + 9635175.

It is an arithmetic number, because the mean of its divisors is an integer number (89746066944).

Almost surely, 24054458707670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4054458707670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5743748284416).

4054458707670 is an abundant number, since it is smaller than the sum of its proper divisors (7433037861162).

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

4054458707670 is a wasteful number, since it uses less digits than its factorization.

4054458707670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431906.

The product of its (nonzero) digits is 26342400, while the sum is 57.

The spelling of 4054458707670 in words is "four trillion, fifty-four billion, four hundred fifty-eight million, seven hundred seven thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 1447 2170 2894 3255 4341 6510 7235 8682 10129 14470 20258 21705 30387 43410 44857 50645 60774 89714 101290 134571 151935 224285 269142 303870 313999 430411 448570 627998 672855 860822 941997 1291233 1345710 1569995 1883994 2152055 2582466 3012877 3139990 4304110 4709985 6025754 6456165 9038631 9419970 12912330 13342741 15064385 18077262 26685482 30128770 40028223 45193155 66713705 80056446 90386310 93399187 133427410 186798374 200141115 280197561 400282230 466995935 560395122 622804717 933991870 1245609434 1400987805 1868414151 2801975610 3114023585 3736828302 4359633019 6228047170 8719266038 9342070755 13078899057 18684141510 19306946227 21798165095 26157798114 38613892454 43596330190 57920838681 65394495285 96534731135 115841677362 130788990570 135148623589 193069462270 270297247178 289604193405 405445870767 579208386810 675743117945 810891741534 1351486235890 2027229353835 4054458707670