Search a number
-
+
76472768240 = 24511761114193
BaseRepresentation
bin100011100111000100…
…0011101011011110000
321022101112000010122122
41013032020131123300
52223104012040430
655044152453412
75345031543041
oct1071610353360
9238345003578
1076472768240
112a48297a710
12129a26aa268
13729945252b
1439b652c8c8
151ec89d2ee5
hex11ce21d6f0

76472768240 has 80 divisors (see below), whose sum is σ = 194219328096. Its totient is φ = 27771494400.

The previous prime is 76472768233. The next prime is 76472768249. The reversal of 76472768240 is 4286727467.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76472768249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612584 + ... + 726776.

Almost surely, 276472768240 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 76472768240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97109664048).

76472768240 is an abundant number, since it is smaller than the sum of its proper divisors (117746559856).

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

76472768240 is a wasteful number, since it uses less digits than its factorization.

76472768240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114978 (or 114972 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 76472768240 in words is "seventy-six billion, four hundred seventy-two million, seven hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 761 880 1522 3044 3805 6088 7610 8371 12176 15220 16742 30440 33484 41855 60880 66968 83710 114193 133936 167420 228386 334840 456772 570965 669680 913544 1141930 1256123 1827088 2283860 2512246 4567720 5024492 6280615 9135440 10048984 12561230 20097968 25122460 50244920 86900873 100489840 173801746 347603492 434504365 695206984 869008730 955909603 1390413968 1738017460 1911819206 3476034920 3823638412 4779548015 6952069840 7647276824 9559096030 15294553648 19118192060 38236384120 76472768240