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212608277616 = 243731117117431
BaseRepresentation
bin1100011000000001110…
…0001101110001110000
3202022210000222112212110
43012000130031301300
511440410204340431
6241400525125320
721234426353610
oct3060034156160
9668700875773
10212608277616
1182191914849
12352560b9840
13170834ba187
14a40c7dca40
1557e52ea346
hex318070dc70

212608277616 has 160 divisors (see below), whose sum is σ = 648539570176. Its totient is φ = 58732128000.

The previous prime is 212608277603. The next prime is 212608277617. The reversal of 212608277616 is 616772806212.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212608277617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12188421 + ... + 12205851.

Almost surely, 2212608277616 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 212608277616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324269785088).

212608277616 is an abundant number, since it is smaller than the sum of its proper divisors (435931292560).

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

212608277616 is a wasteful number, since it uses less digits than its factorization.

212608277616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18651 (or 18645 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 212608277616 in words is "two hundred twelve billion, six hundred eight million, two hundred seventy-seven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1171 1302 1488 1736 2342 2604 3472 3513 4684 5208 7026 8197 9368 10416 14052 16394 17431 18736 24591 28104 32788 34862 36301 49182 52293 56208 65576 69724 72602 98364 104586 108903 122017 131152 139448 145204 196728 209172 217806 244034 254107 278896 290408 366051 393456 418344 435612 488068 508214 540361 580816 732102 762321 836688 871224 976136 1016428 1080722 1464204 1524642 1621083 1742448 1952272 2032856 2161444 2928408 3049284 3242166 3782527 4065712 4322888 5856816 6098568 6484332 7565054 8645776 11347581 12197136 12968664 15130108 20411701 22695162 25937328 30260216 40823402 45390324 60520432 61235103 81646804 90780648 122470206 142881907 163293608 181561296 244940412 285763814 326587216 428645721 489880824 571527628 632762731 857291442 979761648 1143055256 1265525462 1714582884 1898288193 2286110512 2531050924 3429165768 3796576386 4429339117 5062101848 6858331536 7593152772 8858678234 10124203696 13288017351 15186305544 17717356468 26576034702 30372611088 35434712936 53152069404 70869425872 106304138808 212608277616