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101806703936 = 2672316675927
BaseRepresentation
bin101111011010000100…
…1110000010101000000
3100201210002021102010022
41132310021300111000
53132000004011221
6114434102553012
710232602463630
oct1366411602500
9321702242108
10101806703936
113a1a3259553
1217892a38768
1397a5c09022
144cdada06c0
1529acb694ab
hex17b4270540

101806703936 has 112 divisors (see below), whose sum is σ = 241106651136. Its totient is φ = 41702352384.

The previous prime is 101806703927. The next prime is 101806703939. The reversal of 101806703936 is 639307608101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101806703939) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17173805 + ... + 17179731.

Almost surely, 2101806703936 is an apocalyptic number.

101806703936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101806703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120553325568).

101806703936 is an abundant number, since it is smaller than the sum of its proper divisors (139299947200).

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

101806703936 is a wasteful number, since it uses less digits than its factorization.

101806703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7636 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 101806703936 in words is "one hundred one billion, eight hundred six million, seven hundred three thousand, nine hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 1667 2576 3334 5152 5927 6668 10304 11669 11854 13336 23338 23708 26672 38341 41489 46676 47416 53344 76682 82978 93352 94832 106688 136321 153364 165956 186704 189664 268387 272642 306728 331912 373408 379328 536774 545284 613456 663824 746816 954247 1073548 1090568 1226912 1327648 1908494 2147096 2181136 2453824 2655296 3816988 4294192 4362272 7633976 8588384 8724544 9880309 15267952 17176768 19760618 30535904 39521236 61071808 69162163 79042472 138324326 158084944 227247107 276648652 316169888 454494214 553297304 632339776 908988428 1106594608 1590729749 1817976856 2213189216 3181459498 3635953712 4426378432 6362918996 7271907424 12725837992 14543814848 25451675984 50903351968 101806703936