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7104400103768 = 23111371087542119
BaseRepresentation
bin110011101100001111100…
…1111101001100101011000
3221011011200212011202021012
41213120133033221211120
51412344302411310033
623035414422033052
71332163441335452
oct147303717514530
927134625152235
107104400103768
112299a60713540
12968a69278788
133c6c32906366
141a7bd77db2d2
15c4c05d93248
hex6761f3e9958

7104400103768 has 64 divisors (see below), whose sum is σ = 14651291750400. Its totient is φ = 3202746405120.

The previous prime is 7104400103761. The next prime is 7104400103783. The reversal of 7104400103768 is 8673010044017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7104400103761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12833813 + ... + 13375931.

It is an arithmetic number, because the mean of its divisors is an integer number (228926433600).

Almost surely, 27104400103768 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 7104400103768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7325645875200).

7104400103768 is an abundant number, since it is smaller than the sum of its proper divisors (7546891646632).

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

7104400103768 is a wasteful number, since it uses less digits than its factorization.

7104400103768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543360 (or 543356 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 7104400103768 in words is "seven trillion, one hundred four billion, four hundred million, one hundred three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 1087 1096 1507 2174 3014 4348 6028 8696 11957 12056 23914 47828 95656 148919 297838 542119 595676 1084238 1191352 1638109 2168476 3276218 4336952 5963309 6552436 11926618 13104872 23853236 47706472 74270303 148540606 297081212 589283353 594162424 816973333 1178566706 1633946666 2357133412 3267893332 4714266824 6482116883 6535786664 12964233766 25928467532 51856935064 80731819361 161463638722 322927277444 645854554888 888050012971 1776100025942 3552200051884 7104400103768