Search a number
-
+
46194475041 = 341121321672
BaseRepresentation
bin101011000001011001…
…111100000000100001
311102020101001110210000
4223001121330000201
51224101241200131
633115455530213
73223512362541
oct530131740041
9142211043700
1046194475041
1118655638900
128b52529969
13448251c900
142343161321
151305736ce6
hexac167c021

46194475041 has 135 divisors (see below), whose sum is σ = 82628398083. Its totient is φ = 25688314080.

The previous prime is 46194475027. The next prime is 46194475043. The reversal of 46194475041 is 14057449164.

The square root of 46194475041 is 214929.

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., 6833502225 + 39360972816 = 82665^2 + 198396^2 .

It is not a de Polignac number, because 46194475041 - 219 = 46193950753 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (46194475043) 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, 276613540 + ... + 276613706.

Almost surely, 246194475041 is an apocalyptic number.

46194475041 is the 214929-th square number.

46194475041 is the 107465-th centered octagonal number.

It is an amenable number.

46194475041 is a deficient number, since it is larger than the sum of its proper divisors (36433923042).

46194475041 is a wasteful number, since it uses less digits than its factorization.

46194475041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 46194475041 in words is "forty-six billion, one hundred ninety-four million, four hundred seventy-five thousand, forty-one".

Divisors: 1 3 9 11 13 27 33 39 81 99 117 121 143 167 169 297 351 363 429 501 507 891 1053 1089 1287 1503 1521 1573 1837 1859 2171 3267 3861 4509 4563 4719 5511 5577 6513 9801 11583 13527 13689 14157 16533 16731 19539 20207 20449 23881 27889 28223 42471 49599 50193 58617 60621 61347 71643 83667 84669 127413 148797 150579 175851 181863 184041 214929 251001 254007 262691 306779 310453 362557 545589 552123 644787 753003 762021 788073 920337 931359 1087671 1636767 1656369 1934361 2259009 2286063 2364219 2761011 2794077 3263013 3374569 3414983 3988127 4713241 7092657 8283033 8382231 9789039 10123707 10244949 11964381 14139723 21277971 24849099 25146693 29367117 30371121 30734847 35893143 42419169 43869397 51845651 91113363 92204541 107679429 127257507 131608191 155536953 273340089 276613623 323038287 381772521 394824573 466610859 570302161 1184473719 1399832577 1710906483 3553421157 4199497731 5132719449 15398158347 46194475041