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234652128816 = 243710949113049
BaseRepresentation
bin1101101010001001011…
…0110101011000110000
3211102200022101012212210
43122202112311120300
512321031421110231
6255444145252120
722644620120430
oct3324226653060
9742608335783
10234652128816
1190574011496
1239588634040
1319187453901
14b5003162c0
1561856dba46
hex36a25b5630

234652128816 has 160 divisors (see below), whose sum is σ = 700615872000. Its totient is φ = 66288015360.

The previous prime is 234652128803. The next prime is 234652128847. The reversal of 234652128816 is 618821256432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17975860 + ... + 17988908.

It is an arithmetic number, because the mean of its divisors is an integer number (4378849200).

Almost surely, 2234652128816 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 234652128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350307936000).

234652128816 is an abundant number, since it is smaller than the sum of its proper divisors (465963743184).

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

234652128816 is a wasteful number, since it uses less digits than its factorization.

234652128816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13667 (or 13661 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The spelling of 234652128816 in words is "two hundred thirty-four billion, six hundred fifty-two million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 109 112 168 218 327 336 436 491 654 763 872 982 1308 1473 1526 1744 1964 2289 2616 2946 3052 3437 3928 4578 5232 5892 6104 6874 7856 9156 10311 11784 12208 13049 13748 18312 20622 23568 26098 27496 36624 39147 41244 52196 53519 54992 78294 82488 91343 104392 107038 156588 160557 164976 182686 208784 214076 274029 313176 321114 365372 374633 428152 548058 626352 642228 730744 749266 856304 1096116 1123899 1284456 1422341 1461488 1498532 2192232 2247798 2568912 2844682 2997064 4267023 4384464 4495596 5689364 5994128 6407059 8534046 8991192 9956387 11378728 12814118 17068092 17982384 19221177 19912774 22757456 25628236 29869161 34136184 38442354 39825548 44849413 51256472 59738322 68272368 76884708 79651096 89698826 102512944 119476644 134548239 153769416 159302192 179397652 238953288 269096478 307538832 358795304 477906576 538192956 698369431 717590608 1076385912 1396738862 2095108293 2152771824 2793477724 4190216586 4888586017 5586955448 8380433172 9777172034 11173910896 14665758051 16760866344 19554344068 29331516102 33521732688 39108688136 58663032204 78217376272 117326064408 234652128816