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212680219183040 = 2657148164109741
BaseRepresentation
bin110000010110111001111000…
…111010100100011111000000
31000220001000211011002221110102
4300112321320322210133000
5210334023042102324130
62032155535513221532
762540432045101340
oct6026717072443700
91026030734087412
10212680219183040
11618481a1192234
121ba2aa271018a8
139189873c8367b
143a73ac5798d20
15198c479694645
hexc16e78ea47c0

212680219183040 has 112 divisors (see below), whose sum is σ = 579184847077824. Its totient is φ = 72869694873600.

The previous prime is 212680219182983. The next prime is 212680219183093. The reversal of 212680219183040 is 40381912086212.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28737431 + ... + 35372310.

Almost surely, 2212680219183040 is an apocalyptic number.

212680219183040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212680219183040 is an abundant number, since it is smaller than the sum of its proper divisors (366504627894784).

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

212680219183040 is a wasteful number, since it uses less digits than its factorization.

212680219183040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64111246 (or 64111236 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 47.

The spelling of 212680219183040 in words is "two hundred twelve trillion, six hundred eighty billion, two hundred nineteen million, one hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 1481 2240 2962 5924 7405 10367 11848 14810 20734 23696 29620 41468 47392 51835 59240 82936 94784 103670 118480 165872 207340 236960 331744 414680 473920 663488 829360 1658720 3317440 64109741 128219482 256438964 320548705 448768187 512877928 641097410 897536374 1025755856 1282194820 1795072748 2051511712 2243840935 2564389640 3590145496 4103023424 4487681870 5128779280 7180290992 8975363740 10257558560 14360581984 17950727480 20515117120 28721163968 35901454960 71802909920 94946526421 143605819840 189893052842 379786105684 474732632105 664625684947 759572211368 949465264210 1329251369894 1519144422736 1898930528420 2658502739788 3038288845472 3323128424735 3797861056840 5317005479576 6076577690944 6646256849470 7595722113680 10634010959152 13292513698940 15191444227360 21268021918304 26585027397880 30382888454720 42536043836608 53170054795760 106340109591520 212680219183040