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415072269168 = 243103127661061
BaseRepresentation
bin1100000101001000011…
…11000011001101110000
31110200101002200222100020
412002210033003031300
523300032000103133
6514403115123440
741662610034504
oct6024417031560
91420332628306
10415072269168
111500385252a7
126853aa43580
13301ab13b9cb
1416137c3a304
15abe4c360b3
hex60a43c3370

415072269168 has 80 divisors (see below), whose sum is σ = 1091207110656. Its totient is φ = 135935089920.

The previous prime is 415072269137. The next prime is 415072269181. The reversal of 415072269168 is 861962270514.

It is a self number, because there is not a number n which added to its sum of digits gives 415072269168.

It is a congruent number.

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, 297358 + ... + 958418.

Almost surely, 2415072269168 is an apocalyptic number.

415072269168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415072269168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545603555328).

415072269168 is an abundant number, since it is smaller than the sum of its proper divisors (676134841488).

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

415072269168 is a wasteful number, since it uses less digits than its factorization.

415072269168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661302 (or 661296 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 415072269168 in words is "four hundred fifteen billion, seventy-two million, two hundred sixty-nine thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 103 127 206 254 309 381 412 508 618 762 824 1016 1236 1524 1648 2032 2472 3048 4944 6096 13081 26162 39243 52324 78486 104648 156972 209296 313944 627888 661061 1322122 1983183 2644244 3966366 5288488 7932732 10576976 15865464 31730928 68089283 83954747 136178566 167909494 204267849 251864241 272357132 335818988 408535698 503728482 544714264 671637976 817071396 1007456964 1089428528 1343275952 1634142792 2014913928 3268285584 4029827856 8647338941 17294677882 25942016823 34589355764 51884033646 69178711528 103768067292 138357423056 207536134584 415072269168