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80408224520 = 235131710618573
BaseRepresentation
bin100101011100010110…
…1000010001100001000
321200112210021000202122
41022320231002030020
52304134001141040
6100534455150412
75544406426361
oct1127055021410
9250483230678
1080408224520
113111238a218
1213700675408
137775895aa0
143c6b080b68
1521592591b5
hex12b8b42308

80408224520 has 128 divisors (see below), whose sum is σ = 206514735840. Its totient is φ = 27913175040.

The previous prime is 80408224499. The next prime is 80408224543. The reversal of 80408224520 is 2542280408.

It can be written as a sum of positive squares in 16 ways, for example, as 5497629316 + 74910595204 = 74146^2 + 273698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9374954 + ... + 9383526.

Almost surely, 280408224520 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 80408224520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103257367920).

80408224520 is an abundant number, since it is smaller than the sum of its proper divisors (126106511320).

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

80408224520 is a wasteful number, since it uses less digits than its factorization.

80408224520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9675 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 80408224520 in words is "eighty billion, four hundred eight million, two hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1061 1105 1768 2122 2210 4244 4420 5305 8488 8573 8840 10610 13793 17146 18037 21220 27586 34292 36074 42440 42865 55172 68584 68965 72148 85730 90185 110344 111449 137930 144296 145741 171460 180370 222898 234481 275860 291482 342920 360740 445796 468962 551720 557245 582964 721480 728705 891592 937924 1114490 1165928 1172405 1457410 1875848 1894633 2228980 2344810 2914820 3789266 4457960 4689620 5829640 7578532 9095953 9379240 9473165 15157064 18191906 18946330 36383812 37892660 45479765 72767624 75785320 90959530 118247389 154631201 181919060 236494778 309262402 363838120 472989556 591236945 618524804 773156005 945979112 1182473890 1237049608 1546312010 2010205613 2364947780 3092624020 4020411226 4729895560 6185248040 8040822452 10051028065 16081644904 20102056130 40204112260 80408224520