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80680528548 = 22351716273001
BaseRepresentation
bin100101100100011101…
…1110010101010100100
321201020202122111200000
41023020323302222210
52310213203403143
6101021503421300
75554224114564
oct1131073625244
9251222574600
1080680528548
1131242067274
12137778b4830
1377ba117529
143c952c4da4
1521730e6bd3
hex12c8ef2aa4

80680528548 has 144 divisors (see below), whose sum is σ = 224149109184. Its totient is φ = 25287552000.

The previous prime is 80680528499. The next prime is 80680528561. The reversal of 80680528548 is 84582508608.

It is a happy number.

80680528548 is a `hidden beast` number, since 8 + 0 + 68 + 0 + 528 + 54 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 80680528494 and 80680528503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26883048 + ... + 26886048.

It is an arithmetic number, because the mean of its divisors is an integer number (1556591036).

Almost surely, 280680528548 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 80680528548, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112074554592).

80680528548 is an abundant number, since it is smaller than the sum of its proper divisors (143468580636).

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

80680528548 is a wasteful number, since it uses less digits than its factorization.

80680528548 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 80680528548 in words is "eighty billion, six hundred eighty million, five hundred twenty-eight thousand, five hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1377 1627 1836 2754 3001 3254 4131 4881 5508 6002 6508 8262 9003 9762 12004 14643 16524 18006 19524 27009 27659 29286 36012 43929 51017 54018 55318 58572 81027 82977 87858 102034 108036 110636 131787 153051 162054 165954 175716 204068 243081 248931 263574 306102 324108 331908 395361 459153 486162 497862 527148 612204 729243 746793 790722 918306 972324 995724 1377459 1458486 1493586 1581444 1836612 2240379 2754918 2916972 2987172 4132377 4480758 4882627 5509836 6721137 8264754 8961516 9765254 12397131 13442274 14647881 16529508 19530508 24794262 26884548 29295762 43943643 49588524 58591524 83004659 87887286 131830929 166009318 175774572 249013977 263661858 332018636 395492787 498027954 527323716 747041931 790985574 996055908 1186478361 1494083862 1581971148 2241125793 2372956722 2988167724 4482251586 4745913444 6723377379 8964503172 13446754758 20170132137 26893509516 40340264274 80680528548