Search a number
-
+
125463256350 = 235217241120407
BaseRepresentation
bin111010011011000110…
…0010101110100011110
3102222211202020210022020
41310312030111310132
54023422043200400
6133345333001010
712031045040325
oct1646614256436
9388752223266
10125463256350
1149232812513
1220395483166
13baa6004733
146102b570bc
1533e49182a0
hex1d36315d1e

125463256350 has 96 divisors (see below), whose sum is σ = 329604546816. Its totient is φ = 31474214400.

The previous prime is 125463256349. The next prime is 125463256381. The reversal of 125463256350 is 53652364521.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6137847 + ... + 6158253.

It is an arithmetic number, because the mean of its divisors is an integer number (3433380696).

Almost surely, 2125463256350 is an apocalyptic number.

125463256350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125463256350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164802273408).

125463256350 is an abundant number, since it is smaller than the sum of its proper divisors (204141290466).

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

125463256350 is a wasteful number, since it uses less digits than its factorization.

125463256350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22850 (or 22845 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 125463256350 in words is "one hundred twenty-five billion, four hundred sixty-three million, two hundred fifty-six thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1275 2411 2550 4822 7233 12055 14466 20407 24110 36165 40814 40987 60275 61221 72330 81974 102035 120550 122442 122961 180825 204070 204935 245922 306105 346919 361650 409870 510175 612210 614805 693838 1020350 1024675 1040757 1229610 1530525 1734595 2049350 2081514 3061050 3074025 3469190 5203785 6148050 8672975 10407570 17345950 26018925 49201277 52037850 98402554 147603831 246006385 295207662 492012770 738019155 836421709 1230031925 1476038310 1672843418 2460063850 2509265127 3690095775 4182108545 5018530254 7380191550 8364217090 12546325635 20910542725 25092651270 41821085450 62731628175 125463256350