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2114674016 = 2571334297
BaseRepresentation
bin111111000001011…
…0101110101100000
312110101010120101212
41332002311311200
513312324032031
6545500445252
7103255301240
oct17602656540
95411116355
102114674016
11995750984
124b0249828
13279158000
14160bc9b20
15c59b512b
hex7e0b5d60

2114674016 has 96 divisors (see below), whose sum is σ = 5155536960. Its totient is φ = 836379648.

The previous prime is 2114673983. The next prime is 2114674019. The reversal of 2114674016 is 6104764112.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114674019) 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, 489980 + ... + 494276.

It is an arithmetic number, because the mean of its divisors is an integer number (53703510).

Almost surely, 22114674016 is an apocalyptic number.

2114674016 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 2114674016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2577768480).

2114674016 is an abundant number, since it is smaller than the sum of its proper divisors (3040862944).

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

2114674016 is an equidigital number, since it uses as much as digits as its factorization.

2114674016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 2114674016 is about 45985.5848717835. The cubic root of 2114674016 is about 1283.5549807904.

The spelling of 2114674016 in words is "two billion, one hundred fourteen million, six hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 169 182 208 224 338 364 416 676 728 1183 1352 1456 2197 2366 2704 2912 4297 4394 4732 5408 8594 8788 9464 15379 17188 17576 18928 30079 30758 34376 35152 37856 55861 60158 61516 68752 70304 111722 120316 123032 137504 223444 240632 246064 391027 446888 481264 492128 726193 782054 893776 962528 1452386 1564108 1787552 2904772 3128216 5083351 5809544 6256432 9440509 10166702 11619088 12512864 18881018 20333404 23238176 37762036 40666808 66083563 75524072 81333616 132167126 151048144 162667232 264334252 302096288 528668504 1057337008 2114674016