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1361669729004 = 22321360718792551
BaseRepresentation
bin10011110100001001110…
…101110010101011101100
311211011201002211021120100
4103310021311302223230
5134302144422312004
62521313055551100
7200243305503564
oct23641165625354
94734632737510
101361669729004
11485532077382
1219ba9852b490
139b535762750
1449c95ac3da4
152564804c739
hex13d09d72aec

1361669729004 has 144 divisors (see below), whose sum is σ = 3716306513920. Its totient is φ = 417898569600.

The previous prime is 1361669728981. The next prime is 1361669729027. The reversal of 1361669729004 is 4009279661631.

1361669729004 is a `hidden beast` number, since 13 + 616 + 6 + 9 + 7 + 2 + 9 + 0 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1361669728981) and next prime (1361669729027).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 533777529 + ... + 533780079.

Almost surely, 21361669729004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361669729004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858153256960).

1361669729004 is an abundant number, since it is smaller than the sum of its proper divisors (2354636784916).

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

1361669729004 is a wasteful number, since it uses less digits than its factorization.

1361669729004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5060 (or 5055 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 1361669729004 in words is "one trillion, three hundred sixty-one billion, six hundred sixty-nine million, seven hundred twenty-nine thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 607 1214 1821 1879 2428 2551 3642 3758 5102 5463 5637 7284 7516 7653 7891 10204 10926 11274 15306 15782 16911 21852 22548 22959 23673 24427 30612 31564 33163 33822 45918 47346 48854 66326 67644 71019 73281 91836 94692 97708 99489 132652 142038 146562 198978 219843 284076 293124 298467 397956 439686 596934 879372 1140553 1193868 1548457 2281106 3096914 3421659 4562212 4645371 4793329 6193828 6843318 9290742 9586658 10264977 13686636 13936113 14379987 14827189 18581484 19173316 20129941 20529954 27872226 28759974 29654378 40259882 41059908 43139961 44481567 55744452 57519948 59308756 60389823 62313277 80519764 86279922 88963134 120779646 124626554 133444701 172559844 177926268 181169469 186939831 241559292 249253108 266889402 362338938 373879662 533778804 560819493 724677876 747759324 1121638986 2243277972 2909550703 5819101406 8728652109 11638202812 17457304218 26185956327 34914608436 37824159139 52371912654 75648318278 104743825308 113472477417 151296636556 226944954834 340417432251 453889909668 680834864502 1361669729004