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134817123870 = 233511133491767
BaseRepresentation
bin111110110001110111…
…0100000111000011110
3110212222122012111022000
41331203232200320132
54202101140430440
6141533434503130
712511615434162
oct1754356407036
9425878174260
10134817123870
11521a282a640
1222165b94aa6
13c936b933a0
14674d164ca2
153790be4730
hex1f63ba0e1e

134817123870 has 128 divisors (see below), whose sum is σ = 422364257280. Its totient is φ = 30168858240.

The previous prime is 134817123869. The next prime is 134817123877. The reversal of 134817123870 is 78321718431.

134817123870 is a `hidden beast` number, since 1 + 3 + 481 + 71 + 2 + 38 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134817123877) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1707274 + ... + 1784493.

It is an arithmetic number, because the mean of its divisors is an integer number (3299720760).

Almost surely, 2134817123870 is an apocalyptic number.

134817123870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134817123870 is an abundant number, since it is smaller than the sum of its proper divisors (287547133410).

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

134817123870 is a wasteful number, since it uses less digits than its factorization.

134817123870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3491807 (or 3491801 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 134817123870 in words is "one hundred thirty-four billion, eight hundred seventeen million, one hundred twenty-three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 6435 7722 12870 19305 38610 3491767 6983534 10475301 17458835 20950602 31425903 34917670 38409437 45392971 52376505 62851806 76818874 90785942 94277709 104753010 115228311 136178913 157129515 188555418 192047185 226964855 230456622 272357826 314259030 345684933 384094370 408536739 453929710 471388545 499322681 576141555 680894565 691369866 817073478 942777090 998645362 1037054799 1152283110 1225610217 1361789130 1497968043 1728424665 2042683695 2074109598 2451220434 2496613405 2995936086 3456849330 4085367390 4493904129 4993226810 5185273995 6128051085 7489840215 8987808258 10370547990 12256102170 13481712387 14979680430 22469520645 26963424774 44939041290 67408561935 134817123870