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255266303662552 = 237132632423550241
BaseRepresentation
bin111010000010100111010001…
…010110100101100111011000
31020110211012221121020011202111
4322002213101112211213120
5231424240342214200202
62302523415423042104
7104524244653423540
oct7202472126454730
91213735847204674
10255266303662552
1174376916703126
12247683a0740334
13ac5868079c0b0
144706d52802320
151e7a0e07146d7
hexe829d15a59d8

255266303662552 has 128 divisors (see below), whose sum is σ = 591561036380160. Its totient is φ = 100558798663680.

The previous prime is 255266303662547. The next prime is 255266303662583.

255266303662552 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 463642152 + ... + 464192392.

It is an arithmetic number, because the mean of its divisors is an integer number (4621570596720).

Almost surely, 2255266303662552 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 255266303662552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295780518190080).

255266303662552 is an abundant number, since it is smaller than the sum of its proper divisors (336294732717608).

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

255266303662552 is a wasteful number, since it uses less digits than its factorization.

255266303662552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552953 (or 552949 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 58.

The spelling of 255266303662552 in words is "two hundred fifty-five trillion, two hundred sixty-six billion, three hundred three million, six hundred sixty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 263 364 526 728 1052 1841 2104 2423 3419 3682 4846 6838 7364 9692 13676 14728 16961 19384 23933 27352 31499 33922 47866 62998 67844 95732 125996 135688 191464 220493 251992 440986 550241 637249 881972 1100482 1274498 1763944 2200964 2548996 3851687 4401928 4460743 5097992 7153133 7703374 8284237 8921486 14306266 15406748 16568474 17842972 28612532 30813496 33136948 35685944 50071931 57225064 57989659 66273896 100143862 115979318 144713383 200287724 231958636 289426766 400575448 463917272 578853532 1012993681 1157707064 1333233943 1881273979 2025987362 2666467886 3762547958 4051974724 5332935772 7525095916 8103949448 9332637601 10665871544 13168917853 15050191832 17332041259 18665275202 26337835706 34664082518 37330550404 52675671412 69328165036 74661100808 105351342824 121324288813 138656330072 242648577626 350640527009 485297155252 701281054018 970594310504 1402562108036 2454483689063 2805124216072 4558326851117 4908967378126 9116653702234 9817934756252 18233307404468 19635869512504 31908287957819 36466614808936 63816575915638 127633151831276 255266303662552