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8663698963668 = 22372172611333191
BaseRepresentation
bin111111000010010110010…
…1100101111110011010100
31010200020112002002002100010
41332010230230233303110
52113421223413314133
630232014240120220
71552634352061500
oct176045454576324
933606462062303
108663698963668
112840288225a61
12b7b0bb306070
134aaca242b838
1421d47a767300
15100569145263
hex7e12cb2fcd4

8663698963668 has 144 divisors (see below), whose sum is σ = 24900737710464. Its totient is φ = 2329574768640.

The previous prime is 8663698963649. The next prime is 8663698963687.

8663698963668 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (8663698963649) and next prime (8663698963687).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

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, 261008953 + ... + 261042143.

It is an arithmetic number, because the mean of its divisors is an integer number (172921789656).

Almost surely, 28663698963668 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 8663698963668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12450368855232).

8663698963668 is an abundant number, since it is smaller than the sum of its proper divisors (16237038746796).

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

8663698963668 is a wasteful number, since it uses less digits than its factorization.

8663698963668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59342 (or 59333 counting only the distinct ones).

The product of its digits is 17414258688, while the sum is 84.

The spelling of 8663698963668 in words is "eight trillion, six hundred sixty-three billion, six hundred ninety-eight million, nine hundred sixty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 196 204 238 294 357 476 588 714 833 1428 1666 2499 3332 4998 9996 26113 33191 52226 66382 78339 99573 104452 132764 156678 182791 199146 232337 313356 365582 398292 443921 464674 548373 564247 697011 731164 887842 929348 1096746 1128494 1279537 1331763 1394022 1626359 1692741 1775684 2193492 2256988 2559074 2663526 2788044 3107447 3252718 3385482 3838611 3949729 4879077 5118148 5327052 6214894 6505436 6770964 7677222 7899458 9322341 9758154 11849187 12429788 15354444 15798916 18644682 19516308 21752129 23698374 27648103 37289364 43504258 47396748 55296206 65256387 82944309 87008516 110592412 130512774 165888618 261025548 331777236 866716583 1733433166 2600149749 3466866332 5200299498 6067016081 10400598996 12134032162 14734181911 18201048243 24268064324 29468363822 36402096486 42469112567 44202545733 58936727644 72804192972 84938225134 88405091466 103139273377 127407337701 169876450268 176810182932 206278546754 254814675402 309417820131 412557093508 509629350804 618835640262 721974913639 1237671280524 1443949827278 2165924740917 2887899654556 4331849481834 8663698963668