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380140637646 = 2371148712791321
BaseRepresentation
bin1011000100000100010…
…01011100110111001110
31100100012122200020022210
411202002021130313032
522212012000401041
6450344553051250
736315145051260
oct5420211346716
91310178606283
10380140637646
11137242530540
12618103b6b26
1329b02135063
1414582849b30
159d4d1ad016
hex588225cdce

380140637646 has 128 divisors (see below), whose sum is σ = 951291740160. Its totient is φ = 98383507200.

The previous prime is 380140637593. The next prime is 380140637663. The reversal of 380140637646 is 646736041083.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 380140637595 and 380140637604.

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, 287766666 + ... + 287767986.

It is an arithmetic number, because the mean of its divisors is an integer number (7431966720).

Almost surely, 2380140637646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380140637646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475645870080).

380140637646 is an abundant number, since it is smaller than the sum of its proper divisors (571151102514).

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

380140637646 is a wasteful number, since it uses less digits than its factorization.

380140637646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110.

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 380140637646 in words is "three hundred eighty billion, one hundred forty million, six hundred thirty-seven thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 487 974 1279 1321 1461 2558 2642 2922 3409 3837 3963 5357 6818 7674 7926 8953 9247 10227 10714 14069 14531 16071 17906 18494 20454 26859 27741 28138 29062 32142 37499 42207 43593 53718 55482 74998 84414 87186 98483 101717 112497 196966 203434 224994 295449 305151 590898 610302 622873 643327 1245746 1286654 1689559 1868619 1929981 3379118 3737238 3859962 4360111 4503289 5068677 6851603 7076597 8720222 9006578 10137354 11826913 13080333 13509867 13703206 14153194 18585149 20554809 21229791 23653826 26160666 27019734 35480739 37170298 41109618 42459582 47961221 49536179 55755447 70961478 95922442 99072358 111510894 130096043 143883663 148608537 260192086 287767326 297217074 390288129 780576258 822815233 1645630466 2468445699 4936891398 5759706631 9050967563 11519413262 17279119893 18101935126 27152902689 34558239786 54305805378 63356772941 126713545882 190070318823 380140637646