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740674000680 = 233543971479809
BaseRepresentation
bin10101100011100111001…
…11000101011100101000
32121210210211210201100120
422301303213011130220
544113400021010210
61324132210203240
7104340410061615
oct12616347053450
92553724721316
10740674000680
11266133189399
12bb66a283520
1354acb057873
1427bc51dd50c
15143eed28270
hexac739c5728

740674000680 has 128 divisors (see below), whose sum is σ = 2297138659200. Its totient is φ = 190930747392.

The previous prime is 740674000643. The next prime is 740674000681. The reversal of 740674000680 is 86000476047.

740674000680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (740674000681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239385 + ... + 1240424.

It is an arithmetic number, because the mean of its divisors is an integer number (17946395775).

Almost surely, 2740674000680 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 740674000680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148569329600).

740674000680 is an abundant number, since it is smaller than the sum of its proper divisors (1556464658520).

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

740674000680 is a wasteful number, since it uses less digits than its factorization.

740674000680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479963 (or 1479959 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 740674000680 in words is "seven hundred forty billion, six hundred seventy-four million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 97 120 129 172 194 215 258 291 344 388 430 485 516 582 645 776 860 970 1032 1164 1290 1455 1720 1940 2328 2580 2910 3880 4171 5160 5820 8342 11640 12513 16684 20855 25026 33368 41710 50052 62565 83420 100104 125130 166840 250260 500520 1479809 2959618 4439427 5919236 7399045 8878854 11838472 14798090 17757708 22197135 29596180 35515416 44394270 59192360 63631787 88788540 127263574 143541473 177577080 190895361 254527148 287082946 318158935 381790722 430624419 509054296 574165892 636317870 717707365 763581444 861248838 954476805 1148331784 1272635740 1435414730 1527162888 1722497676 1908953610 2153122095 2545271480 2870829460 3444995352 3817907220 4306244190 5741658920 6172283339 7635814440 8612488380 12344566678 17224976760 18516850017 24689133356 30861416695 37033700034 49378266712 61722833390 74067400068 92584250085 123445666780 148134800136 185168500170 246891333560 370337000340 740674000680