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215086117540 = 225761315311637
BaseRepresentation
bin1100100001010000100…
…0011011001010100100
3202120011201110212020111
43020110020123022210
512010444021230130
6242450441542404
721353014555660
oct3102410331244
9676151425214
10215086117540
1183243562638
1235827aa4a04
131738995ac48
14a5a59218a0
1558dcaea02a
hex321421b2a4

215086117540 has 96 divisors (see below), whose sum is σ = 517702558464. Its totient is φ = 73530478080.

The previous prime is 215086117513. The next prime is 215086117591. The reversal of 215086117540 is 45711680512.

It is a junction number, because it is equal to n+sod(n) for n = 215086117493 and 215086117502.

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, 131389602 + ... + 131391238.

It is an arithmetic number, because the mean of its divisors is an integer number (5392734984).

Almost surely, 2215086117540 is an apocalyptic number.

215086117540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

215086117540 is an abundant number, since it is smaller than the sum of its proper divisors (302616440924).

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

215086117540 is a wasteful number, since it uses less digits than its factorization.

215086117540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3795 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 215086117540 in words is "two hundred fifteen billion, eighty-six million, one hundred seventeen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 613 1226 1531 1637 2452 3062 3065 3274 4291 6124 6130 6548 7655 8185 8582 10717 11459 12260 15310 16370 17164 21434 21455 22918 30620 32740 42868 42910 45836 53585 57295 85820 107170 114590 214340 229180 938503 1003481 1877006 2006962 2506247 3754012 4013924 4692515 5012494 5017405 6569521 7024367 9385030 10024988 10034810 12531235 13139042 14048734 17543729 18770060 20069620 25062470 26278084 28097468 32847605 35087458 35121835 50124940 65695210 70174916 70243670 87718645 131390420 140487340 175437290 350874580 1536329411 3072658822 6145317644 7681647055 10754305877 15363294110 21508611754 30726588220 43017223508 53771529385 107543058770 215086117540