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454625000000 = 26593637
BaseRepresentation
bin1101001110110011100…
…00101111101001000000
31121110110121010212212222
412213121300233221000
524422033000000000
6544503555310212
744563013511533
oct6473160575100
91543417125788
10454625000000
11165894a623a6
1274138bab368
1333b4263c552
141800ac5aa1a
15bc5c31da85
hex69d9c2fa40

454625000000 has 140 divisors (see below), whose sum is σ = 1127993048556. Its totient is φ = 181800000000.

The previous prime is 454624999991. The next prime is 454625000023. The reversal of 454625000000 is 526454.

It can be written as a sum of positive squares in 10 ways, for example, as 12070098496 + 442554901504 = 109864^2 + 665248^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124998182 + ... + 125001818.

Almost surely, 2454625000000 is an apocalyptic number.

454625000000 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 454625000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563996524278).

454625000000 is an abundant number, since it is smaller than the sum of its proper divisors (673368048556).

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

454625000000 is an frugal number, since it uses more digits than its factorization.

454625000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3694 (or 3644 counting only the distinct ones).

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

Adding to 454625000000 its reverse (526454), we get a palindrome (454625526454).

The spelling of 454625000000 in words is "four hundred fifty-four billion, six hundred twenty-five million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 3637 4000 5000 6250 7274 8000 10000 12500 14548 15625 18185 20000 25000 29096 31250 36370 40000 50000 58192 62500 72740 78125 90925 100000 116384 125000 145480 156250 181850 200000 232768 250000 290960 312500 363700 390625 454625 500000 581920 625000 727400 781250 909250 1000000 1163840 1250000 1454800 1562500 1818500 1953125 2273125 2500000 2909600 3125000 3637000 3906250 4546250 5000000 5819200 6250000 7274000 7812500 9092500 11365625 12500000 14548000 15625000 18185000 22731250 25000000 29096000 31250000 36370000 45462500 56828125 62500000 72740000 90925000 113656250 125000000 145480000 181850000 227312500 284140625 363700000 454625000 568281250 727400000 909250000 1136562500 1420703125 1818500000 2273125000 2841406250 3637000000 4546250000 5682812500 7103515625 9092500000 11365625000 14207031250 18185000000 22731250000 28414062500 45462500000 56828125000 90925000000 113656250000 227312500000 454625000000