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49860956106 = 233131729144071
BaseRepresentation
bin101110011011111100…
…011100111111001010
311202200220012000021000
4232123330130333022
51304103401043411
634523353155430
73413413063653
oct563374347712
9152626160230
1049860956106
111a167234345
1297b63bbb76
134918008930
1425b009852a
15146c57b956
hexb9bf1cfca

49860956106 has 128 divisors (see below), whose sum is σ = 130702118400. Its totient is φ = 13941365760.

The previous prime is 49860956099. The next prime is 49860956107. The reversal of 49860956106 is 60165906894.

It is a happy number.

49860956106 is a `hidden beast` number, since 498 + 6 + 0 + 95 + 61 + 0 + 6 = 666.

It is a super-2 number, since 2×498609561062 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (49860956107) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 274051 + ... + 418121.

It is an arithmetic number, because the mean of its divisors is an integer number (1021110300).

Almost surely, 249860956106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49860956106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65351059200).

49860956106 is an abundant number, since it is smaller than the sum of its proper divisors (80841162294).

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

49860956106 is a wasteful number, since it uses less digits than its factorization.

49860956106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144141 (or 144135 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 49860956106 in words is "forty-nine billion, eight hundred sixty million, nine hundred fifty-six thousand, one hundred six".

Divisors: 1 2 3 6 9 13 17 18 26 27 29 34 39 51 54 58 78 87 102 117 153 174 221 234 261 306 351 377 442 459 493 522 663 702 754 783 918 986 1131 1326 1479 1566 1989 2262 2958 3393 3978 4437 5967 6409 6786 8874 10179 11934 12818 13311 19227 20358 26622 38454 57681 115362 144071 173043 288142 346086 432213 864426 1296639 1872923 2449207 2593278 3745846 3889917 4178059 4898414 5618769 7347621 7779834 8356118 11237538 12534177 14695242 16856307 22042863 25068354 31839691 33712614 37602531 44085726 50568921 54314767 63679382 66128589 71027003 75205062 95519073 101137842 108629534 112807593 132257178 142054006 162944301 191038146 213081009 225615186 286557219 325888602 426162018 488832903 573114438 639243027 859671657 923351039 977665806 1278486054 1466498709 1719343314 1846702078 1917729081 2770053117 2932997418 3835458162 5540106234 8310159351 16620318702 24930478053 49860956106