Search a number
-
+
20103425924184 = 2332472261748299
BaseRepresentation
bin1001001001000101100011…
…00011111001110001011000
32122011212110022120211101100
410210202301203321301120
510113333304014033214
6110431215242351400
74143265430616351
oct444426143716130
978155408524340
1020103425924184
1164508a6925739
1223082187bb560
13b2a98b7c5045
144d70222b6d28
1524ce09c49309
hex1248b18f9c58

20103425924184 has 144 divisors (see below), whose sum is σ = 55652277681000. Its totient is φ = 6555922608384.

The previous prime is 20103425924143. The next prime is 20103425924269. The reversal of 20103425924184 is 48142952430102.

20103425924184 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 3 + 42 + 592 + 4 + 18 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416204467 + ... + 416252765.

Almost surely, 220103425924184 is an apocalyptic number.

20103425924184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20103425924184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27826138840500).

20103425924184 is an abundant number, since it is smaller than the sum of its proper divisors (35548851756816).

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

20103425924184 is a wasteful number, since it uses less digits than its factorization.

20103425924184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51022 (or 50968 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20103425924184 in words is "twenty trillion, one hundred three billion, four hundred twenty-five million, nine hundred twenty-four thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 2209 2617 3384 4418 5234 6627 7851 8836 10468 13254 15702 17672 19881 20936 23553 26508 31404 39762 47106 48299 53016 62808 79524 94212 96598 122999 144897 159048 188424 193196 245998 289794 368997 386392 434691 491996 579588 737994 869382 983992 1106991 1159176 1475988 1738764 2213982 2270053 2951976 3477528 4427964 4540106 5780953 6810159 8855928 9080212 11561906 13620318 17342859 18160424 20430477 23123812 27240636 34685718 40860954 46247624 52028577 54481272 69371436 81721908 104057154 106692491 126398483 138742872 163443816 208114308 213384982 252796966 320077473 379195449 416228616 426769964 505593932 640154946 758390898 853539928 960232419 1011187864 1137586347 1280309892 1516781796 1920464838 2275172694 2560619784 3033563592 3840929676 4550345388 5940728701 7681859352 9100690776 11881457402 17822186103 23762914804 35644372206 47525829608 53466558309 71288744412 106933116618 142577488824 213866233236 279214248947 427732466472 558428497894 837642746841 1116856995788 1675285493682 2233713991576 2512928240523 3350570987364 5025856481046 6701141974728 10051712962092 20103425924184