Search a number
-
+
1950000214734 = 23211213279724623
BaseRepresentation
bin11100011000000101000…
…100011111001011001110
320220102021212102120220100
4130120011010133023032
5223422100023332414
64051452344031530
7260611552225245
oct34300504371316
96812255376810
101950000214734
11691a99315100
12275b0b1625a6
13111b6586b310
146a5481b795c
1535acd67b609
hex1c60511f2ce

1950000214734 has 144 divisors (see below), whose sum is σ = 5003231478336. Its totient is φ = 545237447040.

The previous prime is 1950000214733. The next prime is 1950000214741. The reversal of 1950000214734 is 4374120000591.

1950000214734 is a `hidden beast` number, since 1 + 9 + 500 + 0 + 0 + 2 + 147 + 3 + 4 = 666.

It is a super-2 number, since 2×19500002147342 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950000214733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79181947 + ... + 79206569.

It is an arithmetic number, because the mean of its divisors is an integer number (34744663044).

Almost surely, 21950000214734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950000214734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501615739168).

1950000214734 is an abundant number, since it is smaller than the sum of its proper divisors (3053231263602).

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

1950000214734 is a wasteful number, since it uses less digits than its factorization.

1950000214734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27463 (or 27449 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1950000214734 in words is "one trillion, nine hundred fifty billion, two hundred fourteen thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 121 143 198 234 242 286 363 429 726 858 1089 1287 1573 2178 2574 2797 3146 4719 5594 8391 9438 14157 16782 24623 25173 28314 30767 36361 49246 50346 61534 72722 73869 92301 109083 147738 184602 218166 221607 270853 276903 320099 327249 338437 399971 443214 541706 553806 640198 654498 676874 799942 812559 960297 1015311 1199913 1625118 1920594 2030622 2399826 2437677 2880891 2979383 3045933 3521089 3599739 4399681 4875354 5761782 5958766 6091866 7042178 7199478 8799362 8938149 10563267 13199043 17876298 21126534 26398086 26814447 31689801 38731979 39597129 53628894 63379602 68870531 77463958 79194258 116195937 137741062 206611593 232391874 348587811 413223186 619834779 697175622 757575841 895316903 1239669558 1515151682 1790633806 2272727523 2685950709 4545455046 5371901418 6818182569 8057852127 8333334251 9848485933 13636365138 16115704254 16666668502 19696971866 25000002753 29545457799 50000005506 59090915598 75000008259 88636373397 108333345263 150000016518 177272746794 216666690526 325000035789 650000071578 975000107367 1950000214734