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104250249000 = 233253411511871
BaseRepresentation
bin110000100010111001…
…1001000111100101000
3100222002101020100210100
41201011303020330220
53202001030432000
6115520352345400
710350263332002
oct1410563107450
9328071210710
10104250249000
1140237603087
1218255245260
139aa522cc91
14508d717372
152aa2442a00
hex1845cc8f28

104250249000 has 384 divisors, whose sum is σ = 363544796160. Its totient is φ = 26928000000.

The previous prime is 104250248969. The next prime is 104250249011. The reversal of 104250249000 is 942052401.

It is a super-2 number, since 2×1042502490002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55718065 + ... + 55719935.

It is an arithmetic number, because the mean of its divisors is an integer number (946731240).

Almost surely, 2104250249000 is an apocalyptic number.

104250249000 is a gapful number since it is divisible by the number (10) 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 104250249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181772398080).

104250249000 is an abundant number, since it is smaller than the sum of its proper divisors (259294547160).

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

104250249000 is a wasteful number, since it uses less digits than its factorization.

104250249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 104250249000 in words is "one hundred four billion, two hundred fifty million, two hundred forty-nine thousand".