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2140645716 = 22321119284509
BaseRepresentation
bin111111110010111…
…1010100101010100
312112012000001212200
41333211322211110
513341001130331
6552225244500
7104022121416
oct17745724524
95465001780
102140645716
119a937a8a0
124b8a93730
1328164c591
1416442a9b6
15c7de55e6
hex7f97a954

2140645716 has 72 divisors (see below), whose sum is σ = 6213698400. Its totient is φ = 614537280.

The previous prime is 2140645709. The next prime is 2140645721. The reversal of 2140645716 is 6175460412.

2140645716 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 645 + 7 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134731 + ... + 149778.

Almost surely, 22140645716 is an apocalyptic number.

It is an amenable number.

2140645716 is an abundant number, since it is smaller than the sum of its proper divisors (4073052684).

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

2140645716 is a wasteful number, since it uses less digits than its factorization.

2140645716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284549 (or 284544 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2140645716 is about 46267.1126827685. The cubic root of 2140645716 is about 1288.7883412789.

The spelling of 2140645716 in words is "two billion, one hundred forty million, six hundred forty-five thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 198 209 228 342 396 418 627 684 836 1254 1881 2508 3762 7524 284509 569018 853527 1138036 1707054 2560581 3129599 3414108 5121162 5405671 6259198 9388797 10242324 10811342 12518396 16217013 18777594 21622684 28166391 32434026 37555188 48651039 56332782 59462381 64868052 97302078 112665564 118924762 178387143 194604156 237849524 356774286 535161429 713548572 1070322858 2140645716