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8672110777242 = 233113137880709
BaseRepresentation
bin111111000110010001000…
…0101010001001110011010
31010201001020022101111021000
41332030202011101032122
52114040440324332432
630235525050325430
71553352663235353
oct176144205211632
933631208344230
108672110777242
1128439044a8000
12b80868429876
134aba1308b413
1421da379ccd2a
151008ac88957c
hex7e32215139a

8672110777242 has 128 divisors (see below), whose sum is σ = 21351792326400. Its totient is φ = 2608727552640.

The previous prime is 8672110777237. The next prime is 8672110777261. The reversal of 8672110777242 is 2427770112768.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9406384 + ... + 10287092.

It is an arithmetic number, because the mean of its divisors is an integer number (166810877550).

Almost surely, 28672110777242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8672110777242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10675896163200).

8672110777242 is an abundant number, since it is smaller than the sum of its proper divisors (12679681549158).

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

8672110777242 is a wasteful number, since it uses less digits than its factorization.

8672110777242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880890 (or 880862 counting only the distinct ones).

The product of its (nonzero) digits is 3687936, while the sum is 54.

The spelling of 8672110777242 in words is "eight trillion, six hundred seventy-two billion, one hundred ten million, seven hundred seventy-seven thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 137 198 242 274 297 363 411 594 726 822 1089 1233 1331 1507 2178 2466 2662 3014 3267 3699 3993 4521 6534 7398 7986 9042 11979 13563 16577 23958 27126 33154 35937 40689 49731 71874 81378 99462 149193 182347 298386 364694 447579 547041 880709 895158 1094082 1641123 1761418 2642127 3282246 4923369 5284254 7926381 9687799 9846738 15852762 19375598 23779143 29063397 47558286 58126794 87190191 106565789 120657133 174380382 213131578 241314266 261570573 319697367 361971399 523141146 639394734 723942798 959092101 1085914197 1172223679 1327228463 1918184202 2171828394 2344447358 2654456926 2877276303 3257742591 3516671037 3981685389 5754552606 6515485182 7033342074 7963370778 10550013111 11945056167 14599513093 21100026222 23890112334 29199026186 31650039333 35835168501 43798539279 63300078666 71670337002 87597078558 131395617837 160594644023 262791235674 321189288046 394186853511 481783932069 788373707022 963567864138 1445351796207 2890703592414 4336055388621 8672110777242