Search a number
-
+
1714560316672 = 28717311815533
BaseRepresentation
bin11000111100110011110…
…000100011010100000000
320001220120122201112202211
4120330303300203110000
5211042404420113142
63351354053551504
7234605255141260
oct30746360432400
96056518645684
101714560316672
11601160666a55
12238362945594
13c58b4157878
145cdb13db7a0
152e8edc31917
hex18f33c23500

1714560316672 has 144 divisors (see below), whose sum is σ = 4275016123392. Its totient is φ = 669277716480.

The previous prime is 1714560316663. The next prime is 1714560316727. The reversal of 1714560316672 is 2766130654171.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 36618 + ... + 1852150.

It is an arithmetic number, because the mean of its divisors is an integer number (29687611968).

Almost surely, 21714560316672 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 1714560316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137508061696).

1714560316672 is an abundant number, since it is smaller than the sum of its proper divisors (2560455806720).

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

1714560316672 is a wasteful number, since it uses less digits than its factorization.

1714560316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1815604 (or 1815590 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 1714560316672 in words is "one trillion, seven hundred fourteen billion, five hundred sixty million, three hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 434 448 476 496 527 544 868 896 952 992 1054 1088 1736 1792 1904 1984 2108 2176 3472 3689 3808 3968 4216 4352 6944 7378 7616 7936 8432 13888 14756 15232 16864 27776 29512 30464 33728 55552 59024 67456 118048 134912 236096 472192 944384 1815533 3631066 7262132 12708731 14524264 25417462 29048528 30864061 50834924 56281523 58097056 61728122 101669848 112563046 116194112 123456244 203339696 216048427 225126092 232388224 246912488 393970661 406679392 432096854 450252184 464776448 493824976 787941322 813358784 864193708 900504368 956785891 987649952 1575882644 1626717568 1728387416 1801008736 1913571782 1975299904 3151765288 3253435136 3456774832 3602017472 3827143564 3950599808 6303530576 6697501237 6913549664 7204034944 7654287128 7901199616 12607061152 13395002474 13827099328 14408069888 15308574256 25214122304 26790004948 27654198656 30617148512 50428244608 53580009896 55308397312 61234297024 100856489216 107160019792 122468594048 214320039584 244937188096 428640079168 857280158336 1714560316672