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16403433430461 = 3711252112390601
BaseRepresentation
bin1110111010110011100011…
…0100101001110110111101
32011002011010110221111212120
43232230320310221312331
54122223212424233321
654515344442353153
73312052241421030
oct356547064516675
964064113844776
1016403433430461
115254725597a00
121a0b1187bb7b9
1391cab62559bc
14409d050b1017
151d6a56e31ec6
hexeeb38d29dbd

16403433430461 has 48 divisors (see below), whose sum is σ = 27527357902464. Its totient is φ = 8504907840000.

The previous prime is 16403433430379. The next prime is 16403433430469.

16403433430461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16403433430461 - 211 = 16403433428413 is a prime.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16403433430469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4871440 + ... + 7519161.

It is an arithmetic number, because the mean of its divisors is an integer number (573486622968).

Almost surely, 216403433430461 is an apocalyptic number.

16403433430461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16403433430461 is a deficient number, since it is larger than the sum of its proper divisors (11123924472003).

16403433430461 is a wasteful number, since it uses less digits than its factorization.

16403433430461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12391154 (or 12391143 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 16403433430461 in words is "sixteen trillion, four hundred three billion, four hundred thirty-three million, four hundred thirty thousand, four hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 121 231 363 521 847 1563 2541 3647 5731 10941 17193 40117 63041 120351 189123 441287 1323861 12390601 37171803 86734207 136296611 260202621 408889833 954076277 1499262721 2862228831 4497788163 6455503121 10494839047 19366509363 31484517141 45188521847 71010534331 135565565541 213031602993 497073740317 781115877641 1491221220951 2343347632923 5467811143487 16403433430461