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36720500000 = 25562712
BaseRepresentation
bin100010001100101101…
…100101110100100000
310111210010002200020112
4202030231211310200
51100200422000000
624511423430452
72436653046212
oct421455456440
9114703080215
1036720500000
1114633846168
127149755428
1336027ca112
141ac4c0a5b2
15e4db33235
hex88cb65d20

36720500000 has 126 divisors (see below), whose sum is σ = 90700381989. Its totient is φ = 14634000000.

The previous prime is 36720499903. The next prime is 36720500009. The reversal of 36720500000 is 502763.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 6261873424 + 30458626576 = 79132^2 + 174524^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=135500.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36720500009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 135499865 + ... + 135500135.

Almost surely, 236720500000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36720500000

36720500000 is an abundant number, since it is smaller than the sum of its proper divisors (53979881989).

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

36720500000 is an frugal number, since it uses more digits than its factorization.

36720500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The spelling of 36720500000 in words is "thirty-six billion, seven hundred twenty million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 271 400 500 542 625 800 1000 1084 1250 1355 2000 2168 2500 2710 3125 4000 4336 5000 5420 6250 6775 8672 10000 10840 12500 13550 15625 20000 21680 25000 27100 31250 33875 43360 50000 54200 62500 67750 73441 100000 108400 125000 135500 146882 169375 216800 250000 271000 293764 338750 367205 500000 542000 587528 677500 734410 846875 1084000 1175056 1355000 1468820 1693750 1836025 2350112 2710000 2937640 3387500 3672050 4234375 5420000 5875280 6775000 7344100 8468750 9180125 11750560 13550000 14688200 16937500 18360250 27100000 29376400 33875000 36720500 45900625 58752800 67750000 73441000 91801250 135500000 146882000 183602500 229503125 293764000 367205000 459006250 734410000 918012500 1147515625 1468820000 1836025000 2295031250 3672050000 4590062500 7344100000 9180125000 18360250000 36720500000