Search a number
-
+
63405558570172 = 2272131910853120677
BaseRepresentation
bin11100110101010110000011…
…10010111001110010111100
322022111111211101122210012111
432122223001302321302330
531302314040443221142
6342504040025343404
716232620564235500
oct1632530162716274
9268444741583174
1063405558570172
1119226167919225
127140509337b64
13294c1704c95b0
141192bb9b34300
1574e4cdbcde17
hex39aac1cb9cbc

63405558570172 has 144 divisors (see below), whose sum is σ = 146335214420640. Its totient is φ = 23760946073088.

The previous prime is 63405558570169. The next prime is 63405558570173. The reversal of 63405558570172 is 27107585550436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63405558570173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 525355098 + ... + 525475774.

It is an arithmetic number, because the mean of its divisors is an integer number (1016216766810).

Almost surely, 263405558570172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63405558570172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73167607210320).

63405558570172 is an abundant number, since it is smaller than the sum of its proper divisors (82929655850468).

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

63405558570172 is a wasteful number, since it uses less digits than its factorization.

63405558570172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131580 (or 131571 counting only the distinct ones).

The product of its (nonzero) digits is 35280000, while the sum is 58.

The spelling of 63405558570172 in words is "sixty-three trillion, four hundred five billion, five hundred fifty-eight million, five hundred seventy thousand, one hundred seventy-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 49 52 76 91 98 133 182 196 247 266 364 494 532 637 931 988 1274 1729 1862 2548 3458 3724 6916 10853 12103 21706 24206 43412 48412 75971 120677 141089 151942 206207 241354 282178 303884 412414 482708 531797 564356 824828 844739 987623 1063594 1443449 1568801 1689478 1975246 2127188 2292863 2680691 2886898 3137602 3378956 3950492 4585726 5361382 5773796 5913173 6275204 6913361 9171452 10104143 10722764 10981607 11826346 13826722 16050041 18764837 20208286 21963214 23652692 27653444 29807219 32100082 37529674 40416572 43926428 59614438 64200164 75059348 76871249 112350287 119228876 131353859 153742498 208650533 224700574 262707718 307484996 417301066 449401148 525415436 834602132 1309707481 1460553731 2619414962 2921107462 5238829924 5842214924 9167952367 17026197253 18335904734 24884442139 34052394506 36671809468 49768884278 64175666569 68104789012 99537768556 119183380771 128351333138 174191094973 238366761542 256702666276 323497747807 348382189946 476733523084 646995495614 696764379892 834283665397 1219337664811 1293990991228 1668567330794 2264484234649 2438675329622 3337134661588 4528968469298 4877350659244 9057936938596 15851389642543 31702779285086 63405558570172