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2114747488 = 25725325447
BaseRepresentation
bin111111000001100…
…0111110001100000
312110101021022012001
41332003013301200
513312333404423
6545502213344
7103256025400
oct17603076140
95411238161
102114747488
119957a10a7
124b0284254
13279182599
14160c08800
15c59cbcad
hex7e0c7c60

2114747488 has 72 divisors (see below), whose sum is σ = 4934723472. Its totient is φ = 889185024.

The previous prime is 2114747473. The next prime is 2114747501. The reversal of 2114747488 is 8847474112.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70381 + ... + 95827.

It is an arithmetic number, because the mean of its divisors is an integer number (68537826).

Almost surely, 22114747488 is an apocalyptic number.

2114747488 is a gapful number since it is divisible by the number (28) 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 2114747488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2467361736).

2114747488 is an abundant number, since it is smaller than the sum of its proper divisors (2819975984).

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

2114747488 is a wasteful number, since it uses less digits than its factorization.

2114747488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25524 (or 25509 counting only the distinct ones).

The product of its digits is 401408, while the sum is 46.

The square root of 2114747488 is about 45986.3837238807. The cubic root of 2114747488 is about 1283.5698458490.

It can be divided in two parts, 21147 and 47488, that added together give a triangular number (68635 = T370).

The spelling of 2114747488 in words is "two billion, one hundred fourteen million, seven hundred forty-seven thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 53 56 98 106 112 196 212 224 371 392 424 742 784 848 1484 1568 1696 2597 2968 5194 5936 10388 11872 20776 25447 41552 50894 83104 101788 178129 203576 356258 407152 712516 814304 1246903 1348691 1425032 2493806 2697382 2850064 4987612 5394764 5700128 9440837 9975224 10789528 18881674 19950448 21579056 37763348 39900896 43158112 66085859 75526696 132171718 151053392 264343436 302106784 528686872 1057373744 2114747488