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7840134007848 = 2333193257586541
BaseRepresentation
bin111001000010110110001…
…1001110000110000101000
31000202111202102022120002000
41302011230121300300220
52011423043301222343
624401412521011000
71436300554335402
oct162055431606050
930674672276060
107840134007848
112552a8928a16a
12a67579023a60
1344b42434732c
141d167088db72
15d8e17148ed3
hex7216c670c28

7840134007848 has 128 divisors (see below), whose sum is σ = 22931446032000. Its totient is φ = 2475067415040.

The previous prime is 7840134007831. The next prime is 7840134007859. The reversal of 7840134007848 is 8487004310487.

It is a super-2 number, since 2×78401340078482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7840134007794 and 7840134007803.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13073458 + ... + 13659998.

It is an arithmetic number, because the mean of its divisors is an integer number (179151922125).

Almost surely, 27840134007848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7840134007848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11465723016000).

7840134007848 is an abundant number, since it is smaller than the sum of its proper divisors (15091312024152).

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

7840134007848 is a wasteful number, since it uses less digits than its factorization.

7840134007848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589832 (or 589822 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 7840134007848 in words is "seven trillion, eight hundred forty billion, one hundred thirty-four million, seven thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 3257 4104 6514 9771 13028 19542 26056 29313 39084 58626 61883 78168 87939 117252 123766 175878 185649 234504 247532 351756 371298 495064 556947 586541 703512 742596 1113894 1173082 1485192 1670841 1759623 2227788 2346164 3341682 3519246 4455576 4692328 5278869 6683364 7038492 10557738 11144279 13366728 14076984 15836607 21115476 22288558 31673214 33432837 42230952 44577116 63346428 66865674 89154232 100298511 126692856 133731348 200597022 267462696 300895533 401194044 601791066 802388088 1203582132 1910364037 2407164264 3820728074 5731092111 7641456148 11462184222 15282912296 17193276333 22924368444 34386552666 36296916703 45848736888 51579828999 68773105332 72593833406 103159657998 108890750109 137546210664 145187666812 206319315996 217781500218 290375333624 326672250327 412638631992 435563000436 653344500654 871126000872 980016750981 1306689001308 1960033501962 2613378002616 3920067003924 7840134007848