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2134918776 = 233592775443
BaseRepresentation
bin111111101000000…
…0100011001111000
312111210020002222210
41333100010121320
513333014400101
6551502415120
7103622336664
oct17720043170
95453202883
102134918776
119a6119091
124b6b914a0
132803c5963
141637798a4
15c76637d6
hex7f404678

2134918776 has 64 divisors (see below), whose sum is σ = 5448355200. Its totient is φ = 696924288.

The previous prime is 2134918763. The next prime is 2134918777. The reversal of 2134918776 is 6778194312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134918777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389511 + ... + 394953.

It is an arithmetic number, because the mean of its divisors is an integer number (85130550).

Almost surely, 22134918776 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 2134918776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2724177600).

2134918776 is an abundant number, since it is smaller than the sum of its proper divisors (3313436424).

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

2134918776 is a wasteful number, since it uses less digits than its factorization.

2134918776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5788 (or 5784 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 2134918776 is about 46205.1812679054. The cubic root of 2134918776 is about 1287.6380021868.

The spelling of 2134918776 in words is "two billion, one hundred thirty-four million, nine hundred eighteen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 277 354 472 554 708 831 1108 1416 1662 2216 3324 5443 6648 10886 16329 16343 21772 32658 32686 43544 49029 65316 65372 98058 130632 130744 196116 321137 392232 642274 963411 1284548 1507711 1926822 2569096 3015422 3853644 4523133 6030844 7707288 9046266 12061688 18092532 36185064 88954949 177909898 266864847 355819796 533729694 711639592 1067459388 2134918776