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45154325000 = 23554144053
BaseRepresentation
bin101010000011011010…
…000101001000001000
311022112212211101011102
4222003122011020020
51214434001400000
632424341520532
73155652300251
oct520332051010
9138485741142
1045154325000
1118171491774
128902113148
134347b95805
142284d61b28
1512942743d5
hexa83685208

45154325000 has 96 divisors (see below), whose sum is σ = 108407202120. Its totient is φ = 17620800000.

The previous prime is 45154324997. The next prime is 45154325003. The reversal of 45154325000 is 52345154.

It is an interprime number because it is at equal distance from previous prime (45154324997) and next prime (45154325003).

It can be written as a sum of positive squares in 12 ways, for example, as 28224672004 + 16929652996 = 168002^2 + 130114^2 .

It is not an unprimeable number, because it can be changed into a prime (45154325003) 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, 1002974 + ... + 1047026.

Almost surely, 245154325000 is an apocalyptic number.

45154325000 is a gapful number since it is divisible by the number (40) 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 45154325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54203601060).

45154325000 is an abundant number, since it is smaller than the sum of its proper divisors (63252877120).

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

45154325000 is an equidigital number, since it uses as much as digits as its factorization.

45154325000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44125 (or 44101 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The spelling of 45154325000 in words is "forty-five billion, one hundred fifty-four million, three hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 125 164 200 205 250 328 410 500 625 820 1000 1025 1250 1640 2050 2500 3125 4100 5000 5125 6250 8200 10250 12500 20500 25000 25625 41000 44053 51250 88106 102500 128125 176212 205000 220265 256250 352424 440530 512500 881060 1025000 1101325 1762120 1806173 2202650 3612346 4405300 5506625 7224692 8810600 9030865 11013250 14449384 18061730 22026500 27533125 36123460 44053000 45154325 55066250 72246920 90308650 110132500 137665625 180617300 220265000 225771625 275331250 361234600 451543250 550662500 903086500 1101325000 1128858125 1806173000 2257716250 4515432500 5644290625 9030865000 11288581250 22577162500 45154325000