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80316906280900 = 2252271233072
BaseRepresentation
bin10010010000110000111100…
…101010110001011111000100
3101112101012222021221002211221
4102100300330222301133010
541011403011001442100
6442453024414010124
722626463545061462
oct2220607452613704
9345335867832757
1080316906280900
1123656232813513
129011b554a6944
1335a7b0c42c523
1415b950517b832
1594436145b01a
hex490c3cab17c4

80316906280900 has 81 divisors (see below), whose sum is σ = 174986101635597. Its totient is φ = 31998534645600.

The previous prime is 80316906280859. The next prime is 80316906280901. The reversal of 80316906280900 is 908260961308.

It is a happy number.

The square root of 80316906280900 is 8961970.

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

It can be written as a sum of positive squares in only one way, i.e., 28914086261124 + 51402820019776 = 5377182^2 + 7169576^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (80316906280901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24286937047 + ... + 24286940353.

Almost surely, 280316906280900 is an apocalyptic number.

80316906280900 is the 8961970-th square number.

It is an amenable number.

80316906280900 is an abundant number, since it is smaller than the sum of its proper divisors (94669195354697).

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

80316906280900 is an frugal number, since it uses more digits than its factorization.

80316906280900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 3585 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 80316906280900 in words is "eighty trillion, three hundred sixteen billion, nine hundred six million, two hundred eighty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 271 542 1084 1355 2710 3307 5420 6614 6775 13228 13550 16535 27100 33070 66140 73441 82675 146882 165350 293764 330700 367205 734410 896197 1468820 1792394 1836025 3584788 3672050 4480985 7344100 8961970 10936249 17923940 21872498 22404925 43744996 44809850 54681245 89619700 109362490 218724980 242869387 273406225 485738774 546812450 971477548 1093624900 1214346935 2428693870 2963723479 4857387740 5927446958 6071734675 11854893916 12143469350 14818617395 24286938700 29637234790 59274469580 74093086975 148186173950 296372347900 803169062809 1606338125618 3212676251236 4015845314045 8031690628090 16063381256180 20079226570225 40158453140450 80316906280900