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2136445376 = 26135634561
BaseRepresentation
bin111111101010111…
…1001000111000000
312111220002200002112
41333111321013000
513333412223001
6551555234452
7103641325502
oct17725710700
95456080075
102136445376
119a6a7103a
124b75a8a28
1328080b780
14163a55d72
15c7865cbb
hex7f5791c0

2136445376 has 56 divisors (see below), whose sum is σ = 4574737104. Its totient is φ = 984084480.

The previous prime is 2136445357. The next prime is 2136445387. The reversal of 2136445376 is 6735446312.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 466136 + ... + 470696.

It is an arithmetic number, because the mean of its divisors is an integer number (81691734).

Almost surely, 22136445376 is an apocalyptic number.

2136445376 is a gapful number since it is divisible by the number (26) 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 2136445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287368552).

2136445376 is an abundant number, since it is smaller than the sum of its proper divisors (2438291728).

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

2136445376 is a wasteful number, since it uses less digits than its factorization.

2136445376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5149 (or 5139 counting only the distinct ones).

The product of its digits is 362880, while the sum is 41.

The square root of 2136445376 is about 46221.6981081396. The cubic root of 2136445376 is about 1287.9448428729.

The spelling of 2136445376 in words is "two billion, one hundred thirty-six million, four hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 563 832 1126 2252 4504 4561 7319 9008 9122 14638 18016 18244 29276 36032 36488 58552 59293 72976 117104 118586 145952 234208 237172 291904 468416 474344 948688 1897376 2567843 3794752 5135686 10271372 20542744 33381959 41085488 66763918 82170976 133527836 164341952 267055672 534111344 1068222688 2136445376