Search a number
-
+
19857348930492 = 2234713172723069
BaseRepresentation
bin1001000001111011001100…
…01110101010101110111100
32121022100021210022100020000
410200331212032222232330
510100320322311233432
6110122201250354300
74116434421650643
oct440754616525674
977270253270200
1019857348930492
1163664aa878167
1222885a1b8b990
13b1070340a978
144c915a8d635a
1524680654757c
hex120f663aabbc

19857348930492 has 120 divisors (see below), whose sum is σ = 52808256879840. Its totient is φ = 6505300529280.

The previous prime is 19857348930457. The next prime is 19857348930527. The reversal of 19857348930492 is 29403984375891.

19857348930492 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 7 + 3 + 48 + 93 + 0 + 492 = 666.

It is an interprime number because it is at equal distance from previous prime (19857348930457) and next prime (19857348930527).

It is a self number, because there is not a number n which added to its sum of digits gives 19857348930492.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5930734 + ... + 8653802.

It is an arithmetic number, because the mean of its divisors is an integer number (440068807332).

Almost surely, 219857348930492 is an apocalyptic number.

19857348930492 is a gapful number since it is divisible by the number (12) 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 19857348930492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26404128439920).

19857348930492 is an abundant number, since it is smaller than the sum of its proper divisors (32950907949348).

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

19857348930492 is a wasteful number, since it uses less digits than its factorization.

19857348930492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723473 (or 2723462 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 19857348930492 in words is "nineteen trillion, eight hundred fifty-seven billion, three hundred forty-eight million, nine hundred thirty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 81 108 142 162 213 284 317 324 426 634 639 852 951 1268 1278 1902 1917 2556 2853 3804 3834 5706 5751 7668 8559 11412 11502 17118 22507 23004 25677 34236 45014 51354 67521 90028 102708 135042 202563 270084 405126 607689 810252 1215378 1823067 2430756 2723069 3646134 5446138 7292268 8169207 10892276 16338414 24507621 32676828 49015242 73522863 98030484 147045726 193337899 220568589 294091452 386675798 441137178 580013697 773351596 863212873 882274356 1160027394 1726425746 1740041091 2320054788 2589638619 3452851492 3480082182 5179277238 5220123273 6960164364 7768915857 10358554476 10440246546 15537831714 15660369819 20880493092 23306747571 31075663428 31320739638 46613495142 61288113983 62641479276 69920242713 93226990284 122576227966 139840485426 183864341949 245152455932 279680970852 367728683898 551593025847 735457367796 1103186051694 1654779077541 2206372103388 3309558155082 4964337232623 6619116310164 9928674465246 19857348930492