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95506900650 = 23252783365297
BaseRepresentation
bin101100011110010100…
…1111010011010101010
3100010112001002020122200
41120330221322122222
53031044231310100
6111513020201030
76620515155330
oct1307451723252
9303461066580
1095506900650
1137560179057
1216615099176
1390109b0b85
1448a042db50
15273ea60e00
hex163ca7a6aa

95506900650 has 144 divisors (see below), whose sum is σ = 296785629504. Its totient is φ = 21567075840.

The previous prime is 95506900637. The next prime is 95506900679. The reversal of 95506900650 is 5600960559.

95506900650 is a `hidden beast` number, since 9 + 5 + 506 + 90 + 0 + 6 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 95506900596 and 95506900605.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78802 + ... + 444098.

It is an arithmetic number, because the mean of its divisors is an integer number (2061011316).

Almost surely, 295506900650 is an apocalyptic number.

95506900650 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 95506900650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148392814752).

95506900650 is an abundant number, since it is smaller than the sum of its proper divisors (201278728854).

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

95506900650 is a wasteful number, since it uses less digits than its factorization.

95506900650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365405 (or 365397 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 95506900650 in words is "ninety-five billion, five hundred six million, nine hundred thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 83 90 105 126 150 166 175 210 225 249 315 350 415 450 498 525 581 630 747 830 1050 1162 1245 1494 1575 1743 2075 2490 2905 3150 3486 3735 4150 5229 5810 6225 7470 8715 10458 12450 14525 17430 18675 26145 29050 37350 43575 52290 87150 130725 261450 365297 730594 1095891 1826485 2191782 2557079 3287673 3652970 5114158 5479455 6575346 7671237 9132425 10958910 12785395 15342474 16438365 18264850 23013711 25570790 27397275 30319651 32876730 38356185 46027422 54794550 60639302 63926975 76712370 82191825 90958953 115068555 127853950 151598255 164383650 181917906 191780925 212237557 230137110 272876859 303196510 383561850 424475114 454794765 545753718 575342775 636712671 757991275 909589530 1061187785 1150685550 1273425342 1364384295 1515982550 1910138013 2122375570 2273973825 2728768590 3183563355 3820276026 4547947650 5305938925 6367126710 6821921475 9550690065 10611877850 13643842950 15917816775 19101380130 31835633550 47753450325 95506900650