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376898994241 = 74112172672
BaseRepresentation
bin1010111110000001110…
…11100100000001000001
31100000211201221200112221
411133000323210001001
522133342120303431
6445051153251041
736141623410000
oct5370073440101
91300751850487
10376898994241
11135929724900
1261066863a81
1329706675973
1414356100c37
159c0d7d6111
hex57c0ee4041

376898994241 has 135 divisors (see below), whose sum is σ = 521173294467. Its totient is φ = 272286241920.

The previous prime is 376898994217. The next prime is 376898994259. The reversal of 376898994241 is 142499898673.

The square root of 376898994241 is 613921.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 293433473025 + 83465521216 = 541695^2 + 288904^2 .

It is not a de Polignac number, because 376898994241 - 29 = 376898993729 is a prime.

It is a super-3 number, since 3×3768989942413 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (376898991241) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5625358090 + ... + 5625358156.

Almost surely, 2376898994241 is an apocalyptic number.

376898994241 is the 613921-st square number.

376898994241 is the 306961-st centered octagonal number.

It is an amenable number.

376898994241 is a deficient number, since it is larger than the sum of its proper divisors (144274300226).

376898994241 is an frugal number, since it uses more digits than its factorization.

376898994241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 102 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 70.

The spelling of 376898994241 in words is "three hundred seventy-six billion, eight hundred ninety-eight million, nine hundred ninety-four thousand, two hundred forty-one".

Divisors: 1 7 11 17 49 67 77 119 121 187 289 343 469 539 737 833 847 1139 1309 2023 2057 2401 3179 3283 3773 4489 5159 5831 5929 7973 8107 9163 12529 14161 14399 19363 22253 22981 26411 31423 34969 36113 40817 41503 49379 55811 56749 64141 76313 87703 99127 100793 135541 137819 155771 160867 212993 219961 244783 252791 290521 345653 390677 397243 448987 534191 543169 613921 693889 705551 839443 948787 964733 1090397 1297321 1490951 1539727 1713481 1769537 2342923 2419571 2734739 2780701 3739337 3802183 4297447 4938857 5876101 6641509 6753131 7632779 9081247 9233873 10436657 10778089 11994367 14270531 16400461 16936997 19464907 26175359 26615281 30082129 41132707 46490563 47271917 63568729 64637111 73056599 83960569 99893717 114803227 118558979 156975841 183227513 186306967 287928949 330903419 444981103 452459777 511396193 699256019 803622589 1098830887 1304148769 2015502643 3114867721 3167218439 4894792133 5625358123 7691816209 22170529073 34263544931 53842713463 376898994241