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2139627968 = 26413832129
BaseRepresentation
bin111111110001000…
…0010000111000000
312112010002100210022
41333202002013000
513340221043333
6552151353012
7104010352262
oct17742020700
95463070708
102139627968
119a8845185
124b8682768
1328138426a
14164243b32
15c7c93c98
hex7f8821c0

2139627968 has 56 divisors (see below), whose sum is σ = 4362785280. Its totient is φ = 1040506880.

The previous prime is 2139627947. The next prime is 2139627989. The reversal of 2139627968 is 8697269312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2139627947) and next prime (2139627989).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1003928 + ... + 1006056.

It is an arithmetic number, because the mean of its divisors is an integer number (77906880).

Almost surely, 22139627968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181392640).

2139627968 is an abundant number, since it is smaller than the sum of its proper divisors (2223157312).

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

2139627968 is a wasteful number, since it uses less digits than its factorization.

2139627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565 (or 2555 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 53.

The square root of 2139627968 is about 46256.1127636121. The cubic root of 2139627968 is about 1288.5840618452.

The spelling of 2139627968 in words is "two billion, one hundred thirty-nine million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 164 328 383 656 766 1312 1532 2129 2624 3064 4258 6128 8516 12256 15703 17032 24512 31406 34064 62812 68128 87289 125624 136256 174578 251248 349156 502496 698312 815407 1004992 1396624 1630814 2793248 3261628 5586496 6523256 13046512 26093024 33431687 52186048 66863374 133726748 267453496 534906992 1069813984 2139627968