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382142245466260 = 2252773311031202129
BaseRepresentation
bin101011011100011100110110…
…0110010110111000010010100
31212010001102221010120211211101
41112320321230302313002110
5400042004304314410020
63432425420215515444
7143330603040616606
oct12670715462670224
91763042833524741
10382142245466260
11100842686157624
1236a39888988b84
131352cb22650636
146a51ad77bd176
152e2a5e419500a
hex15b8e6ccb7094

382142245466260 has 96 divisors (see below), whose sum is σ = 808616582565120. Its totient is φ = 151696902297600.

The previous prime is 382142245466257. The next prime is 382142245466327. The reversal of 382142245466260 is 62664542241283.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1890484876 + ... + 1890687004.

It is an arithmetic number, because the mean of its divisors is an integer number (8423089401720).

Almost surely, 2382142245466260 is an apocalyptic number.

It is an amenable number.

382142245466260 is an abundant number, since it is smaller than the sum of its proper divisors (426474337098860).

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

382142245466260 is a wasteful number, since it uses less digits than its factorization.

382142245466260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203777 (or 203775 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 55.

The spelling of 382142245466260 in words is "three hundred eighty-two trillion, one hundred forty-two billion, two hundred forty-five million, four hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 277 331 554 662 1031 1108 1324 1385 1655 2062 2770 3310 4124 5155 5540 6620 10310 20620 91687 183374 202129 285587 341261 366748 404258 458435 571174 682522 808516 916870 1010645 1142348 1365044 1427935 1706305 1833740 2021290 2855870 3412610 4042580 5711740 6825220 55989733 66904699 94529297 111979466 133809398 189058594 208394999 223958932 267618796 279948665 334523495 378117188 416789998 472646485 559897330 669046990 833579996 945292970 1041974995 1119794660 1338093980 1890585940 2083949990 4167899980 18532601623 37065203246 57725414723 68978744669 74130406492 92663008115 115450829446 137957489338 185326016230 230901658892 275914978676 288627073615 344893723345 370652032460 577254147230 689787446690 1154508294460 1379574893380 19107112273313 38214224546626 76428449093252 95535561366565 191071122733130 382142245466260