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2677502052 = 2232541137477
BaseRepresentation
bin1001111110010111…
…0111000001100100
320220121012012022200
42133211313001210
520440420031202
61121404054500
7123231251301
oct23745670144
96817165280
102677502052
11115441aa15
12628834430
1333893a354
141b58580a8
1510a0dde1c
hex9f977064

2677502052 has 36 divisors (see below), whose sum is σ = 6780689916. Its totient is φ = 890844480.

The previous prime is 2677502033. The next prime is 2677502083. The reversal of 2677502052 is 2502057762.

It can be written as a sum of positive squares in 2 ways, for example, as 1051315776 + 1626186276 = 32424^2 + 40326^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 2677501998 and 2677502016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49263 + ... + 88214.

Almost surely, 22677502052 is an apocalyptic number.

It is an amenable number.

2677502052 is an abundant number, since it is smaller than the sum of its proper divisors (4103187864).

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

2677502052 is a wasteful number, since it uses less digits than its factorization.

2677502052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138028 (or 138023 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2677502052 is about 51744.5847601466. The cubic root of 2677502052 is about 1388.5982196840.

The spelling of 2677502052 in words is "two billion, six hundred seventy-seven million, five hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 541 1082 1623 2164 3246 4869 6492 9738 19476 137477 274954 412431 549908 824862 1237293 1649724 2474586 4949172 74375057 148750114 223125171 297500228 446250342 669375513 892500684 1338751026 2677502052