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10081841757246 = 23275310313146389
BaseRepresentation
bin1001001010110101110010…
…0110001011110000111110
31022200210222212221021210200
42102231130212023300332
52310140102442212441
633235311213544330
72060250302660460
oct222553446136076
938623885837720
1010081841757246
113237759925626
121169b184a50a6
13581937a10a0c
1426bd6c730130
151273b9e677b6
hex92b5c98bc3e

10081841757246 has 96 divisors (see below), whose sum is σ = 25438230118080. Its totient is φ = 2825883320832.

The previous prime is 10081841757233. The next prime is 10081841757271. The reversal of 10081841757246 is 64275714818001.

It is a happy number.

10081841757246 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 18 + 4 + 17 + 572 + 46 = 666.

It is a super-2 number, since 2×100818417572462 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10081841757192 and 10081841757201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 68797020 + ... + 68943408.

It is an arithmetic number, because the mean of its divisors is an integer number (264981563730).

Almost surely, 210081841757246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10081841757246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12719115059040).

10081841757246 is an abundant number, since it is smaller than the sum of its proper divisors (15356388360834).

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

10081841757246 is a wasteful number, since it uses less digits than its factorization.

10081841757246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156770 (or 156767 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 10081841757246 in words is "ten trillion, eighty-one billion, eight hundred forty-one million, seven hundred fifty-seven thousand, two hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 53 63 106 126 159 318 371 477 742 954 1113 2226 3339 6678 10313 20626 30939 61878 72191 92817 144382 146389 185634 216573 292778 433146 439167 546589 649719 878334 1024723 1093178 1299438 1317501 1639767 2049446 2635002 3074169 3279534 3826123 4919301 6148338 7652246 7758617 9222507 9838602 11478369 15517234 18445014 22956738 23275851 34435107 46551702 54310319 68870214 69827553 108620638 139655106 162930957 325861914 488792871 977585742 1509709757 3019419514 4529129271 9058258542 10567968299 13587387813 21135936598 27174775626 31703904897 63407809794 80014617121 95111714691 160029234242 190223429382 240043851363 480087702726 560102319847 720131554089 1120204639694 1440263108178 1680306959541 3360613919082 5040920878623 10081841757246