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76385513472 = 212312748947
BaseRepresentation
bin100011100100011101…
…1100111000000000000
321022011102211010121120
41013020323213000000
52222414142412342
655031354352240
75342622103002
oct1071073470000
9238142733546
1076385513472
112a4386a3934
121297942b680
137284351ca8
1439a8ad8372
151ec0ee9aec
hex11c8ee7000

76385513472 has 104 divisors (see below), whose sum is σ = 205277730816. Its totient is φ = 25260834816.

The previous prime is 76385513471. The next prime is 76385513473. The reversal of 76385513472 is 27431558367.

It is an interprime number because it is at equal distance from previous prime (76385513471) and next prime (76385513473).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76385513471) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1536103 + ... + 1585049.

Almost surely, 276385513472 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 76385513472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102638865408).

76385513472 is an abundant number, since it is smaller than the sum of its proper divisors (128892217344).

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

76385513472 is a wasteful number, since it uses less digits than its factorization.

76385513472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49101 (or 49079 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 51.

The spelling of 76385513472 in words is "seventy-six billion, three hundred eighty-five million, five hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 2048 3048 3072 4064 4096 6096 6144 8128 12192 12288 16256 24384 32512 48768 48947 65024 97536 97894 130048 146841 195072 195788 260096 293682 390144 391576 520192 587364 780288 783152 1174728 1560576 1566304 2349456 3132608 4698912 6216269 6265216 9397824 12432538 12530432 18648807 18795648 24865076 25060864 37297614 37591296 49730152 50121728 74595228 75182592 99460304 100243456 149190456 150365184 198920608 200486912 298380912 300730368 397841216 596761824 601460736 795682432 1193523648 1591364864 2387047296 3182729728 4774094592 6365459456 9548189184 12730918912 19096378368 25461837824 38192756736 76385513472