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495151468900 = 225211263972
BaseRepresentation
bin1110011010010010101…
…00111101000101100100
31202100001221211210221121
413031021110331011210
531103032234001100
61015245222223324
750526213020224
oct7151124750544
91670057753847
10495151468900
11180aa1106300
127bb69284b44
13379007b386a
1419d73310084
15cd3014b51a
hex734953d164

495151468900 has 81 divisors (see below), whose sum is σ = 1181223210027. Its totient is φ = 180026932800.

The previous prime is 495151468897. The next prime is 495151468937. The reversal of 495151468900 is 9864151594.

The square root of 495151468900 is 703670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 273995714916 + 221155753984 = 523446^2 + 470272^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 77400502 + ... + 77406898.

Almost surely, 2495151468900 is an apocalyptic number.

495151468900 is the 703670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495151468900

495151468900 is an abundant number, since it is smaller than the sum of its proper divisors (686071741127).

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

495151468900 is an equidigital number, since it uses as much as digits as its factorization.

495151468900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12830 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 52.

The spelling of 495151468900 in words is "four hundred ninety-five billion, one hundred fifty-one million, four hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 6397 12100 12794 25588 31985 63970 70367 127940 140734 159925 281468 319850 351835 639700 703670 774037 1407340 1548074 1759175 3096148 3518350 3870185 7036700 7740370 15480740 19350925 38701850 40921609 77403700 81843218 163686436 204608045 409216090 450137699 818432180 900275398 1023040225 1800550796 2046080450 2250688495 4092160900 4501376990 4951514689 9002753980 9903029378 11253442475 19806058756 22506884950 24757573445 45013769900 49515146890 99030293780 123787867225 247575734450 495151468900