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15680708400 = 2435271866751
BaseRepresentation
bin11101001101010010…
…01001111100110000
31111110211000112001210
432212221021330300
5224103230132100
611111552000120
71063403552010
oct164651117460
944424015053
1015680708400
116717395345
123057530040
13162b8925a6
14a8a7b9c40
1561b975c50
hex3a6a49f30

15680708400 has 120 divisors (see below), whose sum is σ = 57406357504. Its totient is φ = 3584160000.

The previous prime is 15680708399. The next prime is 15680708431. The reversal of 15680708400 is 480708651.

15680708400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 924976 + ... + 941775.

Almost surely, 215680708400 is an apocalyptic number.

15680708400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15680708400 is an abundant number, since it is smaller than the sum of its proper divisors (41725649104).

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

15680708400 is a wasteful number, since it uses less digits than its factorization.

15680708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866779 (or 1866768 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 15680708400 in words is "fifteen billion, six hundred eighty million, seven hundred eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1866751 3733502 5600253 7467004 9333755 11200506 13067257 14934008 18667510 22401012 26134514 28001265 29868016 37335020 39201771 44802024 46668775 52269028 56002530 65336285 74670040 78403542 89604048 93337550 104538056 112005060 130672570 140006325 149340080 156807084 186675100 196008855 209076112 224010120 261345140 280012650 313614168 326681425 373350200 392017710 448020240 522690280 560025300 627228336 653362850 746700400 784035420 980044275 1045380560 1120050600 1306725700 1568070840 1960088550 2240101200 2613451400 3136141680 3920177100 5226902800 7840354200 15680708400