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480536768526280 = 235172371123484449
BaseRepresentation
bin110110101000010111010111…
…1011000111011011111001000
32100000102212101121210111220221
41231100232233120323133020
51000441103300220320110
64422003313251555424
7203134431043206064
oct15520565730733710
92300385347714827
10480536768526280
1112a1285542a1234
1245a8b2b35bbb74
1317819565c71a5b
148694164770aa4
153a84ce66187da
hex1b50baf63b7c8

480536768526280 has 96 divisors (see below), whose sum is σ = 1179591263433000. Its totient is φ = 176018555437056.

The previous prime is 480536768526277. The next prime is 480536768526281. The reversal of 480536768526280 is 82625867635084.

It can be written as a sum of positive squares in 12 ways, for example, as 150016296556996 + 330520471969284 = 12248114^2 + 18180222^2 .

It is not an unprimeable number, because it can be changed into a prime (480536768526281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 561314505 + ... + 562169944.

Almost surely, 2480536768526280 is an apocalyptic number.

480536768526280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480536768526280 is an abundant number, since it is smaller than the sum of its proper divisors (699054494906720).

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

480536768526280 is a wasteful number, since it uses less digits than its factorization.

480536768526280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123484531 (or 1123484510 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 70.

The spelling of 480536768526280 in words is "four hundred eighty trillion, five hundred thirty-six billion, seven hundred sixty-eight million, five hundred twenty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 37 40 68 74 85 136 148 170 185 289 296 340 370 578 629 680 740 1156 1258 1445 1480 2312 2516 2890 3145 5032 5780 6290 10693 11560 12580 21386 25160 42772 53465 85544 106930 213860 427720 1123484449 2246968898 4493937796 5617422245 8987875592 11234844490 19099235633 22469688980 38198471266 41568924613 44939377960 76396942532 83137849226 95496178165 152793885064 166275698452 190992356330 207844623065 324687005761 332551396904 381984712660 415689246130 649374011522 706671718421 763969425320 831378492260 1298748023044 1413343436842 1623435028805 1662756984520 2597496046088 2826686873684 3246870057610 3533358592105 5653373747368 6493740115220 7066717184210 12013419213157 12987480230440 14133434368420 24026838426314 28266868736840 48053676852628 60067096065785 96107353705256 120134192131570 240268384263140 480536768526280