Search a number
-
+
21903919197342 = 23713472813037561
BaseRepresentation
bin1001111101011111001110…
…10100101010110010011110
32212112222211210022212102020
410332233213110222302132
510332333211303303332
6114330304354041010
74420335352126530
oct476574724526236
985488753285366
1021903919197342
116a85444397796
122559162279166
13c2b6b8ca8550
1455a2263a9850
1527eb87c3c82c
hex13ebe752ac9e

21903919197342 has 128 divisors (see below), whose sum is σ = 55260494327808. Its totient is φ = 5633823283200.

The previous prime is 21903919197311. The next prime is 21903919197353. The reversal of 21903919197342 is 24379191930912.

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, 5692242 + ... + 8729802.

It is an arithmetic number, because the mean of its divisors is an integer number (431722611936).

Almost surely, 221903919197342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21903919197342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27630247163904).

21903919197342 is an abundant number, since it is smaller than the sum of its proper divisors (33356575130466).

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

21903919197342 is a wasteful number, since it uses less digits than its factorization.

21903919197342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3037914.

The product of its (nonzero) digits is 6613488, while the sum is 60.

The spelling of 21903919197342 in words is "twenty-one trillion, nine hundred three billion, nine hundred nineteen million, one hundred ninety-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 78 91 94 141 182 273 281 282 329 546 562 611 658 843 987 1222 1686 1833 1967 1974 3653 3666 3934 4277 5901 7306 8554 10959 11802 12831 13207 21918 25571 25662 26414 39621 51142 76713 79242 92449 153426 171691 184898 277347 343382 515073 554694 1030146 1201837 2403674 3037561 3605511 6075122 7211022 9112683 18225366 21262927 39488293 42525854 63788781 78976586 118464879 127577562 142765367 236929758 276418051 285530734 428296101 552836102 829254153 853554641 856592202 999357569 1658508306 1707109282 1855949771 1998715138 2560663923 2998072707 3711899542 5121327846 5567849313 5974882487 5996145414 11096210333 11135698626 11949764974 12991648397 17924647461 22192420666 25983296794 33288630999 35849294922 38974945191 40117068127 66577261998 77673472331 77949890382 80234136254 120351204381 155346944662 233020416993 240702408762 280819476889 466040833986 521521885651 561638953778 842458430667 1043043771302 1564565656953 1684916861334 3129131313906 3650653199557 7301306399114 10951959598671 21903919197342