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104062830048 = 253217211100733
BaseRepresentation
bin110000011101010100…
…0001100010111100000
3100221121022120111022200
41200322220030113200
53201110041030143
6115450015333200
710342526314032
oct1407250142740
9327538514280
10104062830048
1140150833491
1218202521200
139a7545c2a8
14507288bc52
152a90c711d3
hex183aa0c5e0

104062830048 has 144 divisors (see below), whose sum is σ = 314824373136. Its totient is φ = 32492113920.

The previous prime is 104062830043. The next prime is 104062830059. The reversal of 104062830048 is 840038260401.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104062829994 and 104062830021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104062830041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982690 + ... + 1083422.

It is an arithmetic number, because the mean of its divisors is an integer number (2186280369).

Almost surely, 2104062830048 is an apocalyptic number.

104062830048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104062830048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157412186568).

104062830048 is an abundant number, since it is smaller than the sum of its proper divisors (210761543088).

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

104062830048 is a wasteful number, since it uses less digits than its factorization.

104062830048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100977 (or 100966 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 104062830048 in words is "one hundred four billion, sixty-two million, eight hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 211 272 288 306 408 422 544 612 633 816 844 1224 1266 1632 1688 1899 2448 2532 3376 3587 3798 4896 5064 6752 7174 7596 10128 10761 14348 15192 20256 21522 28696 30384 32283 43044 57392 60768 64566 86088 100733 114784 129132 172176 201466 258264 302199 344352 402932 516528 604398 805864 906597 1033056 1208796 1611728 1712461 1813194 2417592 3223456 3424922 3626388 4835184 5137383 6849844 7252776 9670368 10274766 13699688 14505552 15412149 20549532 21254663 27399376 29011104 30824298 41099064 42509326 54798752 61648596 63763989 82198128 85018652 123297192 127527978 164396256 170037304 191291967 246594384 255055956 340074608 361329271 382583934 493188768 510111912 680149216 722658542 765167868 1020223824 1083987813 1445317084 1530335736 2040447648 2167975626 2890634168 3060671472 3251963439 4335951252 5781268336 6121342944 6503926878 8671902504 11562536672 13007853756 17343805008 26015707512 34687610016 52031415024 104062830048