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553505104545264 = 24334131250288197
BaseRepresentation
bin111110111011010001111001…
…1001000110100010111110000
32200120210120102102022122222000
41331312203303020310113300
51040022111423230422024
65241112422410014000
7224405265323552604
oct17566436310642760
92616716372278860
10553505104545264
11150400218738483
12520b4bb7717300
131a9b03cc4687c1
149a97b0ba97504
1543ece10adccc9
hex1f768f32345f0

553505104545264 has 80 divisors (see below), whose sum is σ = 1627515009351840. Its totient is φ = 180001660008960.

The previous prime is 553505104545229. The next prime is 553505104545307. The reversal of 553505104545264 is 462545401505355.

553505104545264 is a `hidden beast` number, since 5 + 5 + 3 + 5 + 0 + 5 + 104 + 5 + 4 + 526 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 553505104545264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15625126387 + ... + 15625161810.

It is an arithmetic number, because the mean of its divisors is an integer number (20343937616898).

Almost surely, 2553505104545264 is an apocalyptic number.

553505104545264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

553505104545264 is an abundant number, since it is smaller than the sum of its proper divisors (1074009904806576).

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

553505104545264 is a wasteful number, since it uses less digits than its factorization.

553505104545264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31250288255 (or 31250288243 counting only the distinct ones).

The product of its (nonzero) digits is 36000000, while the sum is 54.

The spelling of 553505104545264 in words is "five hundred fifty-three trillion, five hundred five billion, one hundred four million, five hundred forty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 164 216 246 328 369 432 492 656 738 984 1107 1476 1968 2214 2952 4428 5904 8856 17712 31250288197 62500576394 93750864591 125001152788 187501729182 250002305576 281252593773 375003458364 500004611152 562505187546 750006916728 843757781319 1125010375092 1281261816077 1500013833456 1687515562638 2250020750184 2562523632154 3375031125276 3843785448231 4500041500368 5125047264308 6750062250552 7687570896462 10250094528616 11531356344693 13500124501104 15375141792924 20500189057232 23062712689386 30750283585848 34594069034079 46125425378772 61500567171696 69188138068158 92250850757544 138376276136316 184501701515088 276752552272632 553505104545264