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2140465635 = 335711205913
BaseRepresentation
bin111111110010100…
…1110100111100011
312112011122220212000
41333211032213203
513340424400020
6552221335043
7104020441410
oct17745164743
95464586760
102140465635
119a9267570
124b8a07483
132815b8619
141643c1107
15c7dac090
hex7f94e9e3

2140465635 has 64 divisors (see below), whose sum is σ = 4744258560. Its totient is φ = 889539840.

The previous prime is 2140465573. The next prime is 2140465687. The reversal of 2140465635 is 5365640412.

2140465635 is a `hidden beast` number, since 2 + 14 + 0 + 4 + 6 + 5 + 635 = 666.

It is not a de Polignac number, because 2140465635 - 27 = 2140465507 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2140465635.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92562 + ... + 113351.

It is an arithmetic number, because the mean of its divisors is an integer number (74129040).

Almost surely, 22140465635 is an apocalyptic number.

2140465635 is an abundant number, since it is smaller than the sum of its proper divisors (2603792925).

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

2140465635 is a wasteful number, since it uses less digits than its factorization.

2140465635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205945 (or 205939 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2140465635 is about 46265.1665402817. The cubic root of 2140465635 is about 1288.7522006571.

The spelling of 2140465635 in words is "two billion, one hundred forty million, four hundred sixty-five thousand, six hundred thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 10395 205913 617739 1029565 1441391 1853217 2265043 3088695 4324173 5559651 6795129 7206955 9266085 11325215 12972519 15855301 20385387 21620865 27798255 33975645 38917557 47565903 61156161 64862595 79276505 101926935 142697709 194587785 237829515 305780805 428093127 713488545 2140465635