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73800010256 = 247979417219
BaseRepresentation
bin100010010111011010…
…0101100101000010000
321001111020201221222012
41010232310230220100
52202120300312011
653523034202052
75221555510520
oct1045664545020
9231436657865
1073800010256
1129331200015
1212377583328
136c617b662b
14380158b680
151dbe02ea8b
hex112ed2ca10

73800010256 has 80 divisors (see below), whose sum is σ = 165297336960. Its totient is φ = 31264911360.

The previous prime is 73800010253. The next prime is 73800010259. The reversal of 73800010256 is 65201000837.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73800010253) and next prime (73800010259).

It is not an unprimeable number, because it can be changed into a prime (73800010253) 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, 10219415 + ... + 10226633.

It is an arithmetic number, because the mean of its divisors is an integer number (2066216712).

Almost surely, 273800010256 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 73800010256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82648668480).

73800010256 is an abundant number, since it is smaller than the sum of its proper divisors (91497326704).

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

73800010256 is a wasteful number, since it uses less digits than its factorization.

73800010256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 73800010256 in words is "seventy-three billion, eight hundred million, ten thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 941 1358 1552 1882 2716 3764 5432 6587 7219 7528 10864 13174 14438 15056 26348 28876 50533 52696 57752 91277 101066 105392 115504 182554 202132 365108 404264 638939 700243 730216 808528 1277878 1400486 1460432 2555756 2800972 4901701 5111512 5601944 6793079 9803402 10223024 11203888 13586158 19606804 27172316 39213608 47551553 54344632 78427216 95103106 108689264 190206212 380412424 658928663 760824848 1317857326 2635714652 4612500641 5271429304 9225001282 10542858608 18450002564 36900005128 73800010256