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675997830952884 = 2232117124043172249
BaseRepresentation
bin1001100110110100010000001…
…0100101010011011110110100
310021122111202120010121111010200
42121231010002211103132310
51202101022024210443014
610353421041044520500
7262250142300653016
oct23155040245233664
93248452503544120
10675997830952884
111864370853892a0
1263998aa99b0130
132302742538b68b
14bcd06807c21b6
1553243c54e5a09
hex266d1029537b4

675997830952884 has 72 divisors (see below), whose sum is σ = 1890370374984000. Its totient is φ = 201962646883200.

The previous prime is 675997830952883. The next prime is 675997830952981. The reversal of 675997830952884 is 488259038799576.

675997830952884 is a `hidden beast` number, since 6 + 7 + 5 + 9 + 9 + 78 + 3 + 0 + 9 + 528 + 8 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 675997830952794 and 675997830952803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (675997830952883) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12021558009 + ... + 12021614240.

It is an arithmetic number, because the mean of its divisors is an integer number (26255144097000).

Almost surely, 2675997830952884 is an apocalyptic number.

It is an amenable number.

675997830952884 is an abundant number, since it is smaller than the sum of its proper divisors (1214372544031116).

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

675997830952884 is a wasteful number, since it uses less digits than its factorization.

675997830952884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24043172341 (or 24043172336 counting only the distinct ones).

The product of its (nonzero) digits is 65840947200, while the sum is 90.

The spelling of 675997830952884 in words is "six hundred seventy-five trillion, nine hundred ninety-seven billion, eight hundred thirty million, nine hundred fifty-two thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 71 99 132 142 198 213 284 396 426 639 781 852 1278 1562 2343 2556 3124 4686 7029 9372 14058 28116 24043172249 48086344498 72129516747 96172688996 144259033494 216388550241 264474894739 288518066988 432777100482 528949789478 793424684217 865554200964 1057899578956 1586849368434 1707065229679 2380274052651 3173698736868 3414130459358 4760548105302 5121195689037 6828260918716 9521096210604 10242391378074 15363587067111 18777717526469 20484782756148 30727174134222 37555435052938 56333152579407 61454348268444 75110870105876 112666305158814 168999457738221 225332610317628 337998915476442 675997830952884