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4135043565252 = 223337242166431
BaseRepresentation
bin111100001011000011110…
…011011000011011000100
3112122022021021222121102000
4330023003303120123010
51020222032123042002
612443340210145300
7604514143242255
oct74130363303304
915568237877360
104135043565252
111354731323a46
12569495882230
1323cc188733b2
141041cc5aab2c
15728669cd61c
hex3c2c3cd86c4

4135043565252 has 144 divisors (see below), whose sum is σ = 11044394403840. Its totient is φ = 1337889571200.

The previous prime is 4135043565239. The next prime is 4135043565281. The reversal of 4135043565252 is 2525653405314.

4135043565252 is a `hidden beast` number, since 4 + 1 + 3 + 504 + 35 + 65 + 2 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4135043565198 and 4135043565207.

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, 62212477 + ... + 62278907.

It is an arithmetic number, because the mean of its divisors is an integer number (76697183360).

Almost surely, 24135043565252 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 4135043565252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5522197201920).

4135043565252 is an abundant number, since it is smaller than the sum of its proper divisors (6909350838588).

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

4135043565252 is a wasteful number, since it uses less digits than its factorization.

4135043565252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66939 (or 66894 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 4135043565252 in words is "four trillion, one hundred thirty-five billion, forty-three million, five hundred sixty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 421 444 666 842 999 1263 1332 1369 1684 1998 2526 2738 3789 3996 4107 5052 5476 7578 8214 11367 12321 15156 15577 16428 22734 24642 31154 36963 45468 46731 49284 62308 66431 73926 93462 132862 140193 147852 186924 199293 265724 280386 398586 420579 560772 576349 597879 797172 841158 1152698 1195758 1682316 1729047 1793637 2305396 2391516 2457947 3458094 3587274 4915894 5187141 6916188 7174548 7373841 9831788 10374282 14747682 15561423 20748564 22121523 27967451 29495364 31122846 44243046 55934902 62245692 66364569 83902353 88486092 90944039 111869804 132729138 167804706 181888078 251707059 265458276 272832117 335609412 363776156 503414118 545664234 755121177 818496351 1006828236 1034795687 1091328468 1510242354 1636992702 2069591374 2455489053 3020484708 3104387061 3273985404 4139182748 4910978106 6208774122 9313161183 9821956212 12417548244 18626322366 27939483549 37252644732 38287440419 55878967098 76574880838 111757934196 114862321257 153149761676 229724642514 344586963771 459449285028 689173927542 1033760891313 1378347855084 2067521782626 4135043565252