Search a number
-
+
29896268430960 = 2432547883459469
BaseRepresentation
bin1101100110000110001000…
…11101011011111001110000
310220212001111100110001211200
412303003010131123321300
512404310024204242320
6143330053415411200
76203635254531531
oct663030435337160
9126761440401750
1029896268430960
119586a331539a8
12342a11b983b00
13138b28a8049b9
14754db68cc688
1536ca0d18e290
hex1b30c475be70

29896268430960 has 120 divisors (see below), whose sum is σ = 102537839926080. Its totient is φ = 7802714021376.

The previous prime is 29896268430901. The next prime is 29896268430971. The reversal of 29896268430960 is 6903486269892.

29896268430960 is a `hidden beast` number, since 2 + 9 + 89 + 6 + 26 + 8 + 430 + 96 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

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 23 ways as a sum of consecutive naturals, for example, 441695895 + ... + 441763574.

It is an arithmetic number, because the mean of its divisors is an integer number (854481999384).

Almost surely, 229896268430960 is an apocalyptic number.

29896268430960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29896268430960 is an abundant number, since it is smaller than the sum of its proper divisors (72641571495120).

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

29896268430960 is a wasteful number, since it uses less digits than its factorization.

29896268430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883459535 (or 883459526 counting only the distinct ones).

The product of its (nonzero) digits is 483729408, while the sum is 72.

The spelling of 29896268430960 in words is "twenty-nine trillion, eight hundred ninety-six billion, two hundred sixty-eight million, four hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 883459469 1766918938 2650378407 3533837876 4417297345 5300756814 7067675752 7951135221 8834594690 10601513628 13251892035 14135351504 15902270442 17669189380 21203027256 26503784070 31804540884 35338378760 39755676105 41522595043 42406054512 53007568140 63609081768 70676757520 79511352210 83045190086 106015136280 124567785129 127218163536 159022704420 166090380172 207612975215 212030272560 249135570258 318045408840 332180760344 373703355387 415225950430 498271140516 622838925645 636090817680 664361520688 747406710774 830451900860 996542281032 1245677851290 1494813421548 1660903801720 1868516776935 1993084562064 2491355702580 2989626843096 3321807603440 3737033553870 4982711405160 5979253686192 7474067107740 9965422810320 14948134215480 29896268430960