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13844696670 = 2325724373009
BaseRepresentation
bin11001110010011010…
…10100111001011110
31022201212020110110100
430321031110321132
5211323220243140
610205443521530
71000040660100
oct147115247136
938655213410
1013844696670
115964a74582
1228246892a6
1313c83a410c
14954a0b570
155606a7530
hex339354e5e

13844696670 has 144 divisors (see below), whose sum is σ = 42847524720. Its totient is φ = 3090866688.

The previous prime is 13844696669. The next prime is 13844696681. The reversal of 13844696670 is 7669644831.

13844696670 is a `hidden beast` number, since 138 + 446 + 9 + 6 + 67 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 153126 + ... + 226134.

It is an arithmetic number, because the mean of its divisors is an integer number (297552255).

Almost surely, 213844696670 is an apocalyptic number.

13844696670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13844696670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21423762360).

13844696670 is an abundant number, since it is smaller than the sum of its proper divisors (29002828050).

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

13844696670 is a wasteful number, since it uses less digits than its factorization.

13844696670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73079 (or 73069 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 13844696670 in words is "thirteen billion, eight hundred forty-four million, six hundred ninety-six thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 49 63 70 86 90 98 105 126 129 147 210 215 245 258 294 301 315 387 430 441 490 602 630 645 735 774 882 903 1290 1470 1505 1806 1935 2107 2205 2709 3010 3870 4214 4410 4515 5418 6321 9030 10535 12642 13545 18963 21070 27090 31605 37926 63210 73009 94815 146018 189630 219027 365045 438054 511063 657081 730090 1022126 1095135 1314162 1533189 2190270 2555315 3066378 3139387 3285405 3577441 4599567 5110630 6278774 6570810 7154882 7665945 9199134 9418161 10732323 15331890 15696935 17887205 18836322 21464646 21975709 22997835 28254483 31393870 32196969 35774410 43951418 45995670 47090805 53661615 56508966 64393938 65927127 94181610 107323230 109878545 131854254 141272415 153829963 160984845 197781381 219757090 282544830 307659926 321969690 329635635 395562762 461489889 659271270 769149815 922979778 988906905 1384469667 1538299630 1977813810 2307449445 2768939334 4614898890 6922348335 13844696670