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4361268864 = 27383193709
BaseRepresentation
bin1000000111111001…
…11010111010000000
3102020221111102011110
410003330322322000
532412441100424
62000433043320
7213035113401
oct40374727200
912227442143
104361268864
111938905937
12a186b6540
13546721b84
142d53159a8
151a7d37c29
hex103f3ae80

4361268864 has 128 divisors (see below), whose sum is σ = 11801563200. Its totient is φ = 1426784256.

The previous prime is 4361268827. The next prime is 4361268943. The reversal of 4361268864 is 4688621634.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×43612688642 = 38041332208191700992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6150942 + ... + 6151650.

Almost surely, 24361268864 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 4361268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900781600).

4361268864 is an abundant number, since it is smaller than the sum of its proper divisors (7440294336).

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

4361268864 is a wasteful number, since it uses less digits than its factorization.

4361268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 990 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 4361268864 is about 66039.9035735214. The cubic root of 4361268864 is about 1633.8202968769.

The spelling of 4361268864 in words is "four billion, three hundred sixty-one million, two hundred sixty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 193 249 332 384 386 498 579 664 709 772 996 1158 1328 1418 1544 1992 2127 2316 2656 2836 3088 3984 4254 4632 5312 5672 6176 7968 8508 9264 10624 11344 12352 15936 16019 17016 18528 22688 24704 31872 32038 34032 37056 45376 48057 58847 64076 68064 74112 90752 96114 117694 128152 136128 136837 176541 192228 235388 256304 272256 273674 353082 384456 410511 470776 512608 547348 706164 768912 821022 941552 1025216 1094696 1412328 1537824 1642044 1883104 2050432 2189392 2824656 3075648 3284088 3766208 4378784 5649312 6151296 6568176 7532416 8757568 11298624 11357471 13136352 17515136 22597248 22714942 26272704 34072413 45429884 52545408 68144826 90859768 136289652 181719536 272579304 363439072 545158608 726878144 1090317216 1453756288 2180634432 4361268864