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76867562500 = 225611092
BaseRepresentation
bin100011110010110101…
…0011110110000000100
321100102000212202120021
41013211222132300010
52224411044000000
655151254344524
75360564333521
oct1074552366004
9240360782507
1076867562500
112a66580a463
1212a9295b144
1373301904c1
143a12b3a148
151eed4b911a
hex11e5a9ec04

76867562500 has 63 divisors (see below), whose sum is σ = 168297396547. Its totient is φ = 30719300000.

The previous prime is 76867562489. The next prime is 76867562509. The reversal of 76867562500 is 526576867.

The square root of 76867562500 is 277250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 16846482436 + 60021080064 = 129794^2 + 244992^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76867562509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 69311946 + ... + 69313054.

Almost surely, 276867562500 is an apocalyptic number.

76867562500 is the 277250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76867562500

76867562500 is an abundant number, since it is smaller than the sum of its proper divisors (91429834047).

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

76867562500 is an frugal number, since it uses more digits than its factorization.

76867562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 52.

The spelling of 76867562500 in words is "seventy-six billion, eight hundred sixty-seven million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1109 1250 2218 2500 3125 4436 5545 6250 11090 12500 15625 22180 27725 31250 55450 62500 110900 138625 277250 554500 693125 1229881 1386250 2459762 2772500 3465625 4919524 6149405 6931250 12298810 13862500 17328125 24597620 30747025 34656250 61494050 69312500 122988100 153735125 307470250 614940500 768675625 1537351250 3074702500 3843378125 7686756250 15373512500 19216890625 38433781250 76867562500