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481304513085 = 351131474874111
BaseRepresentation
bin1110000000011111111…
…11000000101000111101
31201000022221100120112020
413000033333000220331
530341202423404320
61005035214030353
746526113600524
oct7001777005075
91630287316466
10481304513085
11176135939470
1279343aa83b9
1336504acb396
141941c2b54bb
15c7be699940
hex700ffc0a3d

481304513085 has 128 divisors (see below), whose sum is σ = 887680401408. Its totient is φ = 220519584000.

The previous prime is 481304513051. The next prime is 481304513087. The reversal of 481304513085 is 580315403184.

It is a happy number.

It is not a de Polignac number, because 481304513085 - 210 = 481304512061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481304513087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 117075180 + ... + 117079290.

It is an arithmetic number, because the mean of its divisors is an integer number (6935003136).

Almost surely, 2481304513085 is an apocalyptic number.

It is an amenable number.

481304513085 is a deficient number, since it is larger than the sum of its proper divisors (406375888323).

481304513085 is a wasteful number, since it uses less digits than its factorization.

481304513085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4695.

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 481304513085 in words is "four hundred eighty-one billion, three hundred four million, five hundred thirteen thousand, eighty-five".

Divisors: 1 3 5 11 15 31 33 47 55 93 141 155 165 235 341 465 487 517 705 1023 1457 1461 1551 1705 2435 2585 4111 4371 5115 5357 7285 7305 7755 12333 15097 16027 16071 20555 21855 22889 26785 45221 45291 48081 61665 68667 75485 80135 80355 114445 127441 135663 166067 193217 226105 226455 240405 251779 343335 382323 498201 579651 637205 678315 709559 755337 830335 966085 1258895 1401851 1911615 2002057 2125387 2128677 2491005 2898255 3547795 3776685 4205553 5989727 6006171 6376161 7009255 7805149 10010285 10626935 10643385 17969181 21027765 22022627 23415447 29948635 30030855 31880805 39025745 62063767 65886997 66067881 89845905 94096679 110113135 117077235 186191301 197660991 282290037 310318835 329434985 330339405 470483395 682701437 930956505 988304955 1035063469 1411450185 2048104311 2916997049 3105190407 3413507185 5175317345 8750991147 10240521555 14584985245 15525952035 32086967539 43754955735 96260902617 160434837695 481304513085