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10347308712 = 2334133139623
BaseRepresentation
bin10011010001011111…
…10110011010101000
3222201010021202010000
421220233312122220
5132142402334322
64430430423000
7514262446536
oct115057663250
928633252100
1010347308712
11442a871204
122009361a60
13c8b9406a0
1470232d156
154086143ac
hex268bf66a8

10347308712 has 160 divisors (see below), whose sum is σ = 32219066880. Its totient is φ = 3081006720.

The previous prime is 10347308711. The next prime is 10347308717. The reversal of 10347308712 is 21780374301.

10347308712 is a `hidden beast` number, since 1 + 0 + 347 + 308 + 7 + 1 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10347308711) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 241333 + ... + 280955.

It is an arithmetic number, because the mean of its divisors is an integer number (201369168).

Almost surely, 210347308712 is an apocalyptic number.

10347308712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10347308712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16109533440).

10347308712 is an abundant number, since it is smaller than the sum of its proper divisors (21871758168).

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

10347308712 is a wasteful number, since it uses less digits than its factorization.

10347308712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39685 (or 39672 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10347308712 in words is "ten billion, three hundred forty-seven million, three hundred eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 31 36 39 52 54 62 72 78 81 93 104 108 117 124 156 162 186 216 234 248 279 312 324 351 372 403 468 558 648 702 744 806 837 936 1053 1116 1209 1404 1612 1674 2106 2232 2418 2511 2808 3224 3348 3627 4212 4836 5022 6696 7254 8424 9672 10044 10881 14508 20088 21762 29016 32643 39623 43524 65286 79246 87048 118869 130572 158492 237738 261144 316984 356607 475476 515099 713214 950952 1030198 1069821 1228313 1426428 1545297 2060396 2139642 2456626 2852856 3090594 3209463 3684939 4120792 4279284 4635891 4913252 6181188 6418926 7369878 8558568 9271782 9826504 11054817 12362376 12837852 13907673 14739756 15968069 18543564 22109634 25675704 27815346 29479512 31936138 33164451 37087128 41723019 44219268 47904207 55630692 63872276 66328902 83446038 88438536 95808414 99493353 111261384 127744552 132657804 143712621 166892076 191616828 198986706 265315608 287425242 333784152 383233656 397973412 431137863 574850484 795946824 862275726 1149700968 1293413589 1724551452 2586827178 3449102904 5173654356 10347308712