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45903551661 = 33113141277439
BaseRepresentation
bin101010110000000100…
…001001110010101101
311101111002122000221000
4222300010021302231
51223002302123121
633030544230513
73213350515452
oct526004116255
9141432560830
1045903551661
11185163a3860
128a9100b439
13443717c2b6
142316671829
1512d9e1c526
hexab0109cad

45903551661 has 128 divisors (see below), whose sum is σ = 78911078400. Its totient is φ = 26111808000.

The previous prime is 45903551653. The next prime is 45903551713. The reversal of 45903551661 is 16615530954.

45903551661 is a `hidden beast` number, since 4 + 5 + 90 + 3 + 551 + 6 + 6 + 1 = 666.

It is not a de Polignac number, because 45903551661 - 23 = 45903551653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45903551461) 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, 104563680 + ... + 104564118.

It is an arithmetic number, because the mean of its divisors is an integer number (616492800).

Almost surely, 245903551661 is an apocalyptic number.

45903551661 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

45903551661 is a deficient number, since it is larger than the sum of its proper divisors (33007526739).

45903551661 is a wasteful number, since it uses less digits than its factorization.

45903551661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 45903551661 in words is "forty-five billion, nine hundred three million, five hundred fifty-one thousand, six hundred sixty-one".

Divisors: 1 3 9 11 27 31 33 41 93 99 123 277 279 297 341 369 439 451 831 837 1023 1107 1271 1317 1353 2493 3047 3069 3813 3951 4059 4829 7479 8587 9141 9207 11357 11439 11853 12177 13609 13981 14487 17999 25761 27423 34071 34317 40827 41943 43461 53997 77283 82269 94457 102213 121603 122481 124927 125829 130383 149699 161991 197989 231849 283371 306639 352067 364809 367443 374781 377487 449097 485973 557969 593967 850113 1056201 1094427 1124343 1337633 1347291 1673907 1781901 2550339 3168603 3283281 3373029 3769693 3872737 4012899 4041873 4985723 5021721 5345703 6137659 9505809 11309079 11618211 12038697 14957169 15065163 18412977 33927237 34854633 36116091 41466623 44871507 54842953 55238931 101781711 104563899 124399869 134614521 154557413 164528859 165716793 373199607 463672239 493586577 1119598821 1391016717 1480759731 1700131543 4173050151 5100394629 15301183887 45903551661