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213032868480 = 2733512328291
BaseRepresentation
bin1100011001100110111…
…1111001101010000000
3202100212121221000001000
43012121233321222000
511442242403242410
6241511013412000
721251103335055
oct3063157715200
9670777830030
10213032868480
118238a556193
123535433a000
131712045b683
14a44cd6502c
15581c719dc0
hex3199bf9a80

213032868480 has 128 divisors (see below), whose sum is σ = 754491470400. Its totient is φ = 56808760320.

The previous prime is 213032868479. The next prime is 213032868511. The reversal of 213032868480 is 84868230312.

213032868480 is a `hidden beast` number, since 2 + 130 + 32 + 8 + 6 + 8 + 480 = 666.

213032868480 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 (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6146866 + ... + 6181425.

Almost surely, 2213032868480 is an apocalyptic number.

213032868480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213032868480 is an abundant number, since it is smaller than the sum of its proper divisors (541458601920).

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

213032868480 is a wasteful number, since it uses less digits than its factorization.

213032868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12328319 (or 12328301 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 213032868480 in words is "two hundred thirteen billion, thirty-two million, eight hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 12328291 24656582 36984873 49313164 61641455 73969746 98626328 110954619 123282910 147939492 184924365 197252656 221909238 246565820 295878984 332863857 369848730 394505312 443818476 493131640 554773095 591757968 665727714 739697460 789010624 887636952 986263280 1109546190 1183515936 1331455428 1479394920 1578021248 1664319285 1775273904 1972526560 2219092380 2367031872 2662910856 2958789840 3328638570 3550547808 3945053120 4438184760 4734063744 5325821712 5917579680 6657277140 7101095616 7890106240 8876369520 10651643424 11835159360 13314554280 14202191232 17752739040 21303286848 23670318720 26629108560 35505478080 42606573696 53258217120 71010956160 106516434240 213032868480