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2153864970 = 232589268897
BaseRepresentation
bin1000000001100001…
…0101111100001010
312120002212200021200
42000120111330022
513402342134340
6553420445030
7104242356465
oct20030257412
95502780250
102153864970
11a058896a4
125013a9776
132842ca51a
141660ac2dc
15c9157330
hex80615f0a

2153864970 has 48 divisors (see below), whose sum is σ = 5662991880. Its totient is φ = 567908352.

The previous prime is 2153864957. The next prime is 2153864983. The reversal of 2153864970 is 794683512.

2153864970 is a `hidden beast` number, since 2 + 1 + 538 + 6 + 49 + 70 = 666.

2153864970 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2153864957) and next prime (2153864983).

It can be written as a sum of positive squares in 4 ways, for example, as 1049565609 + 1104299361 = 32397^2 + 33231^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

2153864970 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126439 + ... + 142458.

It is a 1-persistent number, because it is pandigital, but 2⋅2153864970 = 4307729940 is not.

Almost surely, 22153864970 is an apocalyptic number.

2153864970 is an abundant number, since it is smaller than the sum of its proper divisors (3509126910).

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

2153864970 is a wasteful number, since it uses less digits than its factorization.

2153864970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268999 (or 268996 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2153864970 is about 46409.7508073465. The cubic root of 2153864970 is about 1291.4358089162.

The spelling of 2153864970 in words is "two billion, one hundred fifty-three million, eight hundred sixty-four thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 268897 537794 806691 1344485 1613382 2420073 2688970 4033455 4840146 8066910 12100365 23931833 24200730 47863666 71795499 119659165 143590998 215386497 239318330 358977495 430772994 717954990 1076932485 2153864970