Search a number
-
+
740046052080 = 24335351197583
BaseRepresentation
bin10101100010011100010…
…11101001101011110000
32121202012002012121211000
422301032023221223300
544111103242131310
61323550015122000
7104316013436646
oct12611613515360
92552162177730
10740046052080
11265940781305
12bb513b13300
1354a2ac2494a
1427b65a5d196
15143b4b394c0
hexac4e2e9af0

740046052080 has 160 divisors (see below), whose sum is σ = 2549799659520. Its totient is φ = 197287384320.

The previous prime is 740046052043. The next prime is 740046052103. The reversal of 740046052080 is 80250640047.

740046052080 is a `hidden beast` number, since 7 + 40 + 0 + 4 + 605 + 2 + 0 + 8 + 0 = 666.

740046052080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7534969 + ... + 7632551.

It is an arithmetic number, because the mean of its divisors is an integer number (15936247872).

Almost surely, 2740046052080 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 740046052080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274899829760).

740046052080 is an abundant number, since it is smaller than the sum of its proper divisors (1809753607440).

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

740046052080 is a wasteful number, since it uses less digits than its factorization.

740046052080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101116 (or 101104 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 740046052080 in words is "seven hundred forty billion, forty-six million, fifty-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 3511 7022 10533 14044 17555 21066 28088 31599 35110 42132 52665 56176 63198 70220 84264 94797 97583 105330 126396 140440 157995 168528 189594 195166 210660 252792 280880 292749 315990 379188 390332 421320 473985 487915 505584 585498 631980 758376 780664 842640 878247 947970 975830 1170996 1263960 1463745 1516752 1561328 1756494 1895940 1951660 2341992 2527920 2634741 2927490 3512988 3791880 3903320 4391235 4683984 5269482 5854980 7025976 7583760 7806640 8782470 10538964 11709960 13173705 14051952 17564940 21077928 23419920 26347410 35129880 42155856 52694820 70259760 105389640 210779280 342613913 685227826 1027841739 1370455652 1713069565 2055683478 2740911304 3083525217 3426139130 4111366956 5139208695 5481822608 6167050434 6852278260 8222733912 9250575651 10278417390 12334100868 13704556520 15417626085 16445467824 18501151302 20556834780 24668201736 27409113040 30835252170 37002302604 41113669560 46252878255 49336403472 61670504340 74004605208 82227339120 92505756510 123341008680 148009210416 185011513020 246682017360 370023026040 740046052080