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7163078038144 = 277131359169991
BaseRepresentation
bin110100000111100100010…
…1110001101001010000000
3221100210011020001122220221
41220033020232031022000
51414324440434210034
623122401141512424
71336341515501440
oct150171056151200
927323136048827
107163078038144
1123119318a2086
12978304412714
133cc6244a0ba2
141aa9a2868120
15c64dc4e7bb4
hex683c8b8d280

7163078038144 has 128 divisors (see below), whose sum is σ = 16479160473600. Its totient is φ = 3037952486400.

The previous prime is 7163078038139. The next prime is 7163078038199. The reversal of 7163078038144 is 4418308703617.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7163078038091 and 7163078038100.

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 15 ways as a sum of consecutive naturals, for example, 42052989 + ... + 42222979.

It is an arithmetic number, because the mean of its divisors is an integer number (128743441200).

Almost surely, 27163078038144 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 7163078038144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8239580236800).

7163078038144 is an abundant number, since it is smaller than the sum of its proper divisors (9316082435456).

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

7163078038144 is a wasteful number, since it uses less digits than its factorization.

7163078038144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170502 (or 170490 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 52.

The spelling of 7163078038144 in words is "seven trillion, one hundred sixty-three billion, seventy-eight million, thirty-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 359 448 524 718 896 917 1048 1436 1834 2096 2513 2872 3668 4192 5026 5744 7336 8384 10052 11488 14672 16768 20104 22976 29344 40208 45952 47029 58688 80416 94058 117376 160832 169991 188116 321664 329203 339982 376232 658406 679964 752464 1189937 1316812 1359928 1504928 2379874 2633624 2719856 3009856 4759748 5267248 5439712 6019712 9519496 10534496 10879424 19038992 21068992 21758848 22268821 38077984 42137984 44537642 61026769 76155968 89075284 122053538 152311936 155881747 178150568 244107076 311763494 356301136 427187383 488214152 623526988 712602272 854374766 976428304 1247053976 1425204544 1708749532 1952856608 2494107952 2850409088 3417499064 3905713216 4988215904 6834998128 7811426432 7994506739 9976431808 13669996256 15989013478 19952863616 27339992512 31978026956 54679985024 55961547173 63956053912 111923094346 127912107824 223846188692 255824215648 447692377384 511648431296 895384754768 1023296862592 1790769509536 3581539019072 7163078038144