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513554555264016 = 24371529999904319
BaseRepresentation
bin111010011000100110011110…
…0110101101101110000010000
32111100100100001221122110001110
41310301030330311231300100
51014303034212121422031
65020123412234133320
7213113043424622550
oct16461147465556020
92440310057573043
10513554555264016
111396a829a11a312
1249722391581240
1319072ca9bc2786
1490b625cda9160
153e58aec415c46
hex1d3133cd6dc10

513554555264016 has 80 divisors (see below), whose sum is σ = 1516307807232000. Its totient is φ = 146720280649344.

The previous prime is 513554555263979. The next prime is 513554555264033. The reversal of 513554555264016 is 610462555455315.

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, 44811696 + ... + 55092623.

It is an arithmetic number, because the mean of its divisors is an integer number (18953847590400).

Almost surely, 2513554555264016 is an apocalyptic number.

513554555264016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

513554555264016 is an abundant number, since it is smaller than the sum of its proper divisors (1002753251967984).

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

513554555264016 is a wasteful number, since it uses less digits than its factorization.

513554555264016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99919636 (or 99919630 counting only the distinct ones).

The product of its (nonzero) digits is 54000000, while the sum is 57.

The spelling of 513554555264016 in words is "five hundred thirteen trillion, five hundred fifty-four billion, five hundred fifty-five million, two hundred sixty-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 15299 30598 45897 61196 91794 107093 122392 183588 214186 244784 321279 367176 428372 642558 734352 856744 1285116 1713488 2570232 5140464 99904319 199808638 299712957 399617276 599425914 699330233 799234552 1198851828 1398660466 1598469104 2097990699 2397703656 2797320932 4195981398 4795407312 5594641864 8391962796 11189283728 16783925592 33567851184 1528436176381 3056872352762 4585308529143 6113744705524 9170617058286 10699053234667 12227489411048 18341234116572 21398106469334 24454978822096 32097159704001 36682468233144 42796212938668 64194319408002 73364936466288 85592425877336 128388638816004 171184851754672 256777277632008 513554555264016