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8463980893648 = 247323312375351
BaseRepresentation
bin111101100101010110010…
…0100110001010111010000
31002222011000101021221001211
41323022230210301113100
52102133213102044043
630000144340505504
71532334223354000
oct173125444612720
932864011257054
108463980893648
112773610616a45
12b484620ab294
134951c4651647
14213931cb4000
15ea27a810a9d
hex7b2ac9315d0

8463980893648 has 160 divisors (see below), whose sum is σ = 19225351641600. Its totient is φ = 3608257766400.

The previous prime is 8463980893637. The next prime is 8463980893657.

8463980893648 is nontrivially palindromic in base 10.

It is a congruent number.

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, 1581754173 + ... + 1581759523.

It is an arithmetic number, because the mean of its divisors is an integer number (120158447760).

Almost surely, 28463980893648 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 8463980893648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9612675820800).

8463980893648 is an abundant number, since it is smaller than the sum of its proper divisors (10761370747952).

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

8463980893648 is a wasteful number, since it uses less digits than its factorization.

8463980893648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6850 (or 6830 counting only the distinct ones).

The product of its (nonzero) digits is 1719926784, while the sum is 76.

The spelling of 8463980893648 in words is "eight trillion, four hundred sixty-three billion, nine hundred eighty million, eight hundred ninety-three thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 233 343 392 466 686 784 932 1237 1372 1631 1864 2474 2744 3262 3728 4948 5351 5488 6524 8659 9896 10702 11417 13048 17318 19792 21404 22834 26096 34636 37457 42808 45668 60613 69272 74914 79919 85616 91336 121226 138544 149828 159838 182672 242452 262199 288221 299656 319676 424291 484904 524398 576442 599312 639352 848582 969808 1048796 1152884 1246783 1278704 1697164 1835393 2017547 2097592 2305768 2493566 3394328 3670786 4035094 4195184 4611536 4987132 6619187 6788656 7341572 8070188 8727481 9974264 13238374 14122829 14683144 16140376 17454962 19948528 26476748 28245658 29366288 32280752 34909924 46334309 52953496 56491316 61092367 69819848 92668618 98859803 105906992 112982632 122184734 139639696 185337236 197719606 225965264 244369468 324340163 370674472 395439212 427646569 488738936 648680326 741348944 790878424 855293138 977477872 1297360652 1542270571 1581756848 1710586276 2270381141 2594721304 3084541142 3421172552 4540762282 5189442608 6169082284 6842345104 9081524564 10795893997 12338164568 18163049128 21591787994 24676329136 36326098256 43183575988 75571257979 86367151976 151142515958 172734303952 302285031916 528998805853 604570063832 1057997611706 1209140127664 2115995223412 4231990446824 8463980893648