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5106289199046 = 23733597738941
BaseRepresentation
bin100101001001110011010…
…0011011100011111000110
3200002011020001222212211220
41022103212203130133012
51132130140013332141
614505444042541210
71034626415022000
oct112234643343706
920064201885756
105106289199046
11169962414aa22
126a5771b07806
132b06a0858259
14139207bb7370
158cc5db6c766
hex4a4e68dc7c6

5106289199046 has 128 divisors (see below), whose sum is σ = 11959674624000. Its totient is φ = 1452831246720.

The previous prime is 5106289199017. The next prime is 5106289199047. The reversal of 5106289199046 is 6409919826015.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106289199047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 571104936 + ... + 571113876.

It is an arithmetic number, because the mean of its divisors is an integer number (93434958000).

Almost surely, 25106289199046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106289199046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979837312000).

5106289199046 is an abundant number, since it is smaller than the sum of its proper divisors (6853385424954).

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

5106289199046 is a wasteful number, since it uses less digits than its factorization.

5106289199046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099 (or 10085 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 60.

The spelling of 5106289199046 in words is "five trillion, one hundred six billion, two hundred eighty-nine million, one hundred ninety-nine thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 343 359 686 718 773 1029 1077 1546 2058 2154 2319 2513 4638 5026 5411 7539 8941 10822 15078 16233 17591 17882 26823 32466 35182 37877 52773 53646 62587 75754 105546 113631 123137 125174 187761 227262 246274 265139 277507 369411 375522 438109 530278 555014 738822 795417 832521 876218 1314327 1590834 1665042 1942549 2628654 3066763 3209819 3885098 5827647 6133526 6419638 6911393 9200289 9629457 11655294 13597843 13822786 18400578 19258914 20734179 22468733 27195686 40793529 41468358 44937466 48379751 67406199 81587058 95184901 96759502 134812398 145139253 157281131 190369802 285554703 290278506 314562262 338658257 471843393 571109406 677316514 943686786 1015974771 1100967917 2031949542 2201935834 2370607799 2481190087 3302903751 4741215598 4962380174 6605807502 7111823397 7443570261 14223646794 14887140522 17368330609 34736661218 52104991827 104209983654 121578314263 243156628526 364734942789 729469885578 851048199841 1702096399682 2553144599523 5106289199046