Search a number
-
+
741346741472 = 25597927118341
BaseRepresentation
bin10101100100110111011…
…01011000110011100000
32121212112201200111020012
422302123231120303200
544121234231211342
61324323041304052
7104363156221211
oct12623355306340
92555481614205
10741346741472
112664489aa517
12bb817635028
1354ba754163c
1427c4a6bd408
151443de13b82
hexac9bb58ce0

741346741472 has 96 divisors (see below), whose sum is σ = 1508680857600. Its totient is φ = 358431091200.

The previous prime is 741346741453. The next prime is 741346741477. The reversal of 741346741472 is 274147643147.

It is a happy number.

741346741472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 741346741472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741346741477) 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, 40411022 + ... + 40429362.

It is an arithmetic number, because the mean of its divisors is an integer number (15715425600).

Almost surely, 2741346741472 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 741346741472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754340428800).

741346741472 is an abundant number, since it is smaller than the sum of its proper divisors (767334116128).

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

741346741472 is a wasteful number, since it uses less digits than its factorization.

741346741472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18760 (or 18752 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 50.

The spelling of 741346741472 in words is "seven hundred forty-one billion, three hundred forty-six million, seven hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 59 79 118 158 236 271 316 472 542 632 944 1084 1264 1888 2168 2528 4336 4661 8672 9322 15989 18341 18644 21409 31978 36682 37288 42818 63956 73364 74576 85636 127912 146728 149152 171272 255824 293456 342544 511648 586912 685088 1082119 1263131 1448939 2164238 2526262 2897878 4328476 4970411 5052524 5795756 8656952 9940822 10105048 11591512 17313904 19881644 20210096 23183024 34627808 39763288 40420192 46366048 79526576 85487401 159053152 170974802 293254249 341949604 392662469 586508498 683899208 785324938 1173016996 1367798416 1570649876 2346033992 2735596832 3141299752 4692067984 6282599504 9384135968 12565199008 23167085671 46334171342 92668342684 185336685368 370673370736 741346741472