Search a number
-
+
19342719822030 = 235111912292510141
BaseRepresentation
bin1000110010111100100111…
…11100011010100011001110
32112111010221101211220211120
410121132103330122203032
510013402342233301110
6105045531154501410
74034315425500303
oct431362374324316
975433841756746
1019342719822030
116188224091a90
1222048b9894866
13aa401a5331c7
144ac29a8370aa
15238236463870
hex119793f1a8ce

19342719822030 has 128 divisors (see below), whose sum is σ = 53351562124800. Its totient is φ = 4438730764800.

The previous prime is 19342719821983. The next prime is 19342719822143. The reversal of 19342719822030 is 3022891724391.

It is a super-2 number, since 2×193427198220302 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6450760 + ... + 8960900.

It is an arithmetic number, because the mean of its divisors is an integer number (416809079100).

Almost surely, 219342719822030 is an apocalyptic number.

19342719822030 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 19342719822030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26675781062400).

19342719822030 is an abundant number, since it is smaller than the sum of its proper divisors (34008842302770).

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

19342719822030 is a wasteful number, since it uses less digits than its factorization.

19342719822030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511410.

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 19342719822030 in words is "nineteen trillion, three hundred forty-two billion, seven hundred nineteen million, eight hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 209 285 330 418 570 627 1045 1229 1254 2090 2458 3135 3687 6145 6270 7374 12290 13519 18435 23351 27038 36870 40557 46702 67595 70053 81114 116755 135190 140106 202785 233510 256861 350265 405570 513722 700530 770583 1284305 1541166 2510141 2568610 3852915 5020282 7530423 7705830 12550705 15060846 25101410 27611551 37652115 47692679 55223102 75304230 82834653 95385358 138057755 143078037 165669306 238463395 276115510 286156074 414173265 476926790 524619469 715390185 828346530 1049238938 1430780370 1573858407 2623097345 3084963289 3147716814 5246194690 6169926578 7869292035 9254889867 15424816445 15738584070 18509779734 30849632890 33934596179 46274449335 58614302491 67869192358 92548898670 101803788537 117228604982 169672980895 175842907473 203607577074 293071512455 339345961790 351685814946 509018942685 586143024910 644757327401 879214537365 1018037885370 1289514654802 1758429074730 1934271982203 3223786637005 3868543964406 6447573274010 9671359911015 19342719822030