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88670328240 = 243513251113227
BaseRepresentation
bin101001010010100101…
…0011101010110110000
322110212120212101101010
41102211022131112300
52423044101000430
6104422400510520
76256222232334
oct1224512352660
9273776771333
1088670328240
11346720a800a
121522761b440
1384914c8860
1444124957c4
15248e779cb0
hex14a529d5b0

88670328240 has 160 divisors (see below), whose sum is σ = 297204477696. Its totient is φ = 21739392000.

The previous prime is 88670328223. The next prime is 88670328259. The reversal of 88670328240 is 4282307688.

It is a happy number.

It is a super-2 number, since 2×886703282402 (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 88670328240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726507 + ... + 839733.

Almost surely, 288670328240 is an apocalyptic number.

88670328240 is a gapful number since it is divisible by the number (80) 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 88670328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148602238848).

88670328240 is an abundant number, since it is smaller than the sum of its proper divisors (208534149456).

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

88670328240 is a wasteful number, since it uses less digits than its factorization.

88670328240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113507 (or 113501 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 88670328240 in words is "eighty-eight billion, six hundred seventy million, three hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 251 260 312 390 502 520 624 753 780 1004 1040 1255 1506 1560 2008 2510 3012 3120 3263 3765 4016 5020 6024 6526 7530 9789 10040 12048 13052 15060 16315 19578 20080 26104 30120 32630 39156 48945 52208 60240 65260 78312 97890 113227 130520 156624 195780 226454 261040 339681 391560 452908 566135 679362 783120 905816 1132270 1358724 1471951 1698405 1811632 2264540 2717448 2943902 3396810 4415853 4529080 5434896 5887804 6793620 7359755 8831706 9058160 11775608 13587240 14719510 17663412 22079265 23551216 27174480 28419977 29439020 35326824 44158530 56839954 58878040 70653648 85259931 88317060 113679908 117756080 142099885 170519862 176634120 227359816 284199770 341039724 353268240 369459701 426299655 454719632 568399540 682079448 738919402 852599310 1108379103 1136799080 1364158896 1477838804 1705198620 1847298505 2216758206 2273598160 2955677608 3410397240 3694597010 4433516412 5541895515 5911355216 6820794480 7389194020 8867032824 11083791030 14778388040 17734065648 22167582060 29556776080 44335164120 88670328240