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45462500000 = 25583637
BaseRepresentation
bin101010010101110001…
…101011001010100000
311100100100201021210022
4222111301223022200
51221101400000000
632515111053012
73166413605531
oct522561531240
9140310637708
1045462500000
111830a43a155
128989371168
134396996598
1422b3c62688
1512b134a585
hexa95c6b2a0

45462500000 has 108 divisors (see below), whose sum is σ = 111911075514. Its totient is φ = 18180000000.

The previous prime is 45462499987. The next prime is 45462500003. The reversal of 45462500000 is 526454.

It can be written as a sum of positive squares in 9 ways, for example, as 35565433744 + 9897066256 = 188588^2 + 99484^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (45462500003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12498182 + ... + 12501818.

Almost surely, 245462500000 is an apocalyptic number.

45462500000 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 45462500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55955537757).

45462500000 is an abundant number, since it is smaller than the sum of its proper divisors (66448575514).

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

45462500000 is an frugal number, since it uses more digits than its factorization.

45462500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3687 (or 3644 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 45462500000 in words is "forty-five billion, four hundred sixty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 3637 4000 5000 6250 7274 10000 12500 14548 15625 18185 20000 25000 29096 31250 36370 50000 58192 62500 72740 78125 90925 100000 116384 125000 145480 156250 181850 250000 290960 312500 363700 390625 454625 500000 581920 625000 727400 781250 909250 1250000 1454800 1562500 1818500 2273125 2500000 2909600 3125000 3637000 4546250 6250000 7274000 9092500 11365625 12500000 14548000 18185000 22731250 36370000 45462500 56828125 72740000 90925000 113656250 181850000 227312500 284140625 363700000 454625000 568281250 909250000 1136562500 1420703125 1818500000 2273125000 2841406250 4546250000 5682812500 9092500000 11365625000 22731250000 45462500000