Search a number
-
+
84083668900 = 2252711103106019
BaseRepresentation
bin100111001001111000…
…1101111011110100100
322001000221020221121021
41032103301233132210
52334200404401100
6102343312500524
76034446251560
oct1162361573644
9261027227537
1084083668900
1132729047a60
121436754a744
137c1019c84a
1440d926c6a0
1522c1c6ea1a
hex1393c6f7a4

84083668900 has 144 divisors (see below), whose sum is σ = 229695298560. Its totient is φ = 25953206400.

The previous prime is 84083668897. The next prime is 84083668909. The reversal of 84083668900 is 986638048.

It is not an unprimeable number, because it can be changed into a prime (84083668909) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 740091 + ... + 846109.

It is an arithmetic number, because the mean of its divisors is an integer number (1595106240).

Almost surely, 284083668900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84083668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114847649280).

84083668900 is an abundant number, since it is smaller than the sum of its proper divisors (145611629660).

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

84083668900 is a wasteful number, since it uses less digits than its factorization.

84083668900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106154 (or 106147 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 52.

The spelling of 84083668900 in words is "eighty-four billion, eighty-three million, six hundred sixty-eight thousand, nine hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 103 110 140 154 175 206 220 275 308 350 385 412 515 550 700 721 770 1030 1100 1133 1442 1540 1925 2060 2266 2575 2884 3605 3850 4532 5150 5665 7210 7700 7931 10300 11330 14420 15862 18025 22660 28325 31724 36050 39655 56650 72100 79310 106019 113300 158620 198275 212038 396550 424076 530095 742133 793100 1060190 1166209 1484266 2120380 2332418 2650475 2968532 3710665 4664836 5300950 5831045 7421330 8163463 10601900 10919957 11662090 14842660 16326926 18553325 21839914 23324180 29155225 32653852 37106650 40817315 43679828 54599785 58310450 74213300 76439699 81634630 109199570 116620900 120119527 152879398 163269260 204086575 218399140 240239054 272998925 305758796 382198495 408173150 480478108 545997850 600597635 764396990 816346300 840836689 1091995700 1201195270 1528793980 1681673378 1910992475 2402390540 3002988175 3363346756 3821984950 4204183445 6005976350 7643969900 8408366890 12011952700 16816733780 21020917225 42041834450 84083668900