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3412383690762 = 232236122817883
BaseRepresentation
bin110001101010000001111…
…010101111000000001010
3110002012221212221022120100
4301222001322233000022
5421402030211101022
611131343305110230
7501352022535564
oct61520172570012
913065855838510
103412383690762
1110a62026a6252
12471414488376
131b9a2b953ac7
14bb235a34334
155db6d3ee1ac
hex31a81eaf00a

3412383690762 has 144 divisors (see below), whose sum is σ = 7872413799744. Its totient is φ = 1066226515200.

The previous prime is 3412383690689. The next prime is 3412383690797. The reversal of 3412383690762 is 2670963832143.

3412383690762 is a `hidden beast` number, since 3 + 41 + 238 + 369 + 0 + 7 + 6 + 2 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3412383690699 and 3412383690708.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 432874873 + ... + 432882755.

It is an arithmetic number, because the mean of its divisors is an integer number (54669540276).

Almost surely, 23412383690762 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3412383690762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936206899872).

3412383690762 is an abundant number, since it is smaller than the sum of its proper divisors (4460030108982).

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

3412383690762 is a wasteful number, since it uses less digits than its factorization.

3412383690762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8317 (or 8253 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 3412383690762 in words is "three trillion, four hundred twelve billion, three hundred eighty-three million, six hundred ninety thousand, seven hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 46 61 69 122 138 183 207 281 366 414 549 562 843 1098 1403 1686 2529 2806 3721 4209 5058 6463 7442 7883 8418 11163 12627 12926 15766 17141 19389 22326 23649 25254 33489 34282 38778 47298 51423 58167 66978 70947 85583 102846 116334 141894 154269 171166 181309 256749 308538 362618 394243 480863 513498 543927 770247 788486 961726 1045601 1087854 1182729 1442589 1540494 1631781 2091202 2215123 2365458 2885178 3136803 3263562 3548187 4327767 4430246 6273606 6645369 7096374 8655534 9410409 11059849 13290738 18820818 19936107 22119698 24048823 29332643 33179547 39872214 48097646 50947829 58665286 66359094 72146469 87997929 99538641 101895658 135122503 144292938 152843487 175995858 199077282 216439407 263993787 270245006 305686974 405367509 432878814 458530461 527987574 674650789 810735018 917060922 1216102527 1349301578 2023952367 2432205054 3107817569 4047904734 6071857101 6215635138 8242472683 9323452707 12143714202 16484945366 18646905414 24727418049 27970358121 49454836098 55940716242 74182254147 148364508294 189576871709 379153743418 568730615127 1137461230254 1706191845381 3412383690762