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2765125012512 = 253227443286427
BaseRepresentation
bin101000001111001110010…
…010110100110000100000
3100210100021022112122221110
4220033032102310300200
5330300434000400022
65514140401223320
7403526242542522
oct50171622646040
910710238478843
102765125012512
11976756a8a275
12387a96931b40
1317099a17a675
1497b9316ba12
154bdd96d500c
hex283ce4b4c20

2765125012512 has 96 divisors (see below), whose sum is σ = 7306911182592. Its totient is φ = 915573311744.

The previous prime is 2765125012511. The next prime is 2765125012537. The reversal of 2765125012512 is 2152105215672.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2765125012511) 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 15 ways as a sum of consecutive naturals, for example, 9510643 + ... + 9797069.

It is an arithmetic number, because the mean of its divisors is an integer number (76113658152).

Almost surely, 22765125012512 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 2765125012512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3653455591296).

2765125012512 is an abundant number, since it is smaller than the sum of its proper divisors (4541786170080).

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

2765125012512 is a wasteful number, since it uses less digits than its factorization.

2765125012512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287110 (or 287102 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 39.

The spelling of 2765125012512 in words is "two trillion, seven hundred sixty-five billion, one hundred twenty-five million, twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 227 443 454 681 886 908 1329 1362 1772 1816 2658 2724 3544 3632 5316 5448 7088 7264 10632 10896 14176 21264 21792 42528 100561 201122 286427 301683 402244 572854 603366 804488 859281 1145708 1206732 1608976 1718562 2291416 2413464 3217952 3437124 4582832 4826928 6874248 9165664 9653856 13748496 27496992 65018929 126887161 130037858 195056787 253774322 260075716 380661483 390113574 507548644 520151432 761322966 780227148 1015097288 1040302864 1522645932 1560454296 2030194576 2080605728 3045291864 3120908592 4060389152 6090583728 6241817184 12181167456 28803385547 57606771094 86410156641 115213542188 172820313282 230427084376 345640626564 460854168752 691281253128 921708337504 1382562506256 2765125012512